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40957539840 = 293457229139
BaseRepresentation
bin100110001001010000…
…100111011000000000
310220201101211121020000
4212021100213120000
51132340112233330
630452102120000
72646652226100
oct461120473000
9126641747200
1040957539840
1116408510988
127b30720000
133b29574199
141da7825200
1510eaacc560
hex989427600

40957539840 has 1200 divisors, whose sum is σ = 177801901200. Its totient is φ = 8973877248.

The previous prime is 40957539839. The next prime is 40957539841. The reversal of 40957539840 is 4893575904.

It is an interprime number because it is at equal distance from previous prime (40957539839) and next prime (40957539841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40957539841) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 294658491 + ... + 294658629.

It is an arithmetic number, because the mean of its divisors is an integer number (148168251).

Almost surely, 240957539840 is an apocalyptic number.

40957539840 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 40957539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88900950600).

40957539840 is an abundant number, since it is smaller than the sum of its proper divisors (136844361360).

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

40957539840 is a wasteful number, since it uses less digits than its factorization.

40957539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 40957539840 in words is "forty billion, nine hundred fifty-seven million, five hundred thirty-nine thousand, eight hundred forty".