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40930908480 = 26325711379487
BaseRepresentation
bin100110000111101011…
…000001100101000000
310220122112201120212100
4212013223001211000
51132311303032410
630445311230400
72646206660460
oct460753014500
9126575646770
1040930908480
11163a44813a0
127b23818400
133b23bab597
141da4091ba0
1510e85bb8c0
hex987ac1940

40930908480 has 672 divisors, whose sum is σ = 176348989440. Its totient is φ = 8465264640.

The previous prime is 40930908467. The next prime is 40930908503. The reversal of 40930908480 is 8480903904.

It is a happy number.

40930908480 is a `hidden beast` number, since 409 + 3 + 0 + 90 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84046797 + ... + 84047283.

Almost surely, 240930908480 is an apocalyptic number.

40930908480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40930908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88174494720).

40930908480 is an abundant number, since it is smaller than the sum of its proper divisors (135418080960).

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

40930908480 is a wasteful number, since it uses less digits than its factorization.

40930908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40930908480 in words is "forty billion, nine hundred thirty million, nine hundred eight thousand, four hundred eighty".