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40730855885460 = 223451353115331649
BaseRepresentation
bin10010100001011011001000…
…01100100100101010010100
312100012211110101012210120000
421100231210030210222110
520314313243101313320
6222343255154211300
711402464402422006
oct1120554414445224
9170184411183500
1040730855885460
1111a8394a329154
124699ab5283b30
131995b985188a0
14a0b553780376
154a9782b13c90
hex250b64324a94

40730855885460 has 480 divisors, whose sum is σ = 140325300007200. Its totient is φ = 9828043849728.

The previous prime is 40730855885443. The next prime is 40730855885483. The reversal of 40730855885460 is 6458855803704.

40730855885460 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 0 + 8 + 5 + 5 + 88 + 546 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1274794548624 + 39456061336836 = 1129068^2 + 6281406^2 .

It is a super-2 number, since 2×407308558854602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1286939716 + ... + 1286971364.

It is an arithmetic number, because the mean of its divisors is an integer number (292344375015).

Almost surely, 240730855885460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40730855885460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70162650003600).

40730855885460 is an abundant number, since it is smaller than the sum of its proper divisors (99594444121740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40730855885460 is a wasteful number, since it uses less digits than its factorization.

40730855885460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32889 (or 32878 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 40730855885460 in words is "forty trillion, seven hundred thirty billion, eight hundred fifty-five million, eight hundred eighty-five thousand, four hundred sixty".