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40404299834880 = 29345418775419
BaseRepresentation
bin10010010111111010110111…
…11100000110011000000000
312022001121120010101121220000
421023331123330012120000
520243441001224204010
6221533251252520000
711340054133662342
oct1113753374063000
9168047503347800
1040404299834880
1111968404a12013
12464675a320000
1319711559980a7
149d9815761292
154a101dd657c0
hex24bf5bf06600

40404299834880 has 800 divisors, whose sum is σ = 148441504448160. Its totient is φ = 10497764229120.

The previous prime is 40404299834861. The next prime is 40404299834891. The reversal of 40404299834880 is 8843899240404.

40404299834880 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 429 + 98 + 3 + 48 + 80 = 666.

It is a super-2 number, since 2×404042998348802 (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 79 ways as a sum of consecutive naturals, for example, 7456040811 + ... + 7456046229.

Almost surely, 240404299834880 is an apocalyptic number.

40404299834880 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 40404299834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74220752224080).

40404299834880 is an abundant number, since it is smaller than the sum of its proper divisors (108037204613280).

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

40404299834880 is an equidigital number, since it uses as much as digits as its factorization.

40404299834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 40404299834880 in words is "forty trillion, four hundred four billion, two hundred ninety-nine million, eight hundred thirty-four thousand, eight hundred eighty".