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40841592960 = 27357103163181
BaseRepresentation
bin100110000010010110…
…010100000010000000
310220102022122220000010
4212002112110002000
51132120421433320
630432401024520
72644043545410
oct460226240200
9126368586003
1040841592960
1116359018313
127ab9925140
133b0b53906c
141d96282640
1510e0827ae0
hex982594080

40841592960 has 512 divisors, whose sum is σ = 151981240320. Its totient is φ = 9137111040.

The previous prime is 40841592949. The next prime is 40841592973. The reversal of 40841592960 is 6929514804.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225644070 + ... + 225644250.

It is an arithmetic number, because the mean of its divisors is an integer number (296838360).

Almost surely, 240841592960 is an apocalyptic number.

40841592960 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 40841592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75990620160).

40841592960 is an abundant number, since it is smaller than the sum of its proper divisors (111139647360).

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

40841592960 is a wasteful number, since it uses less digits than its factorization.

40841592960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 40841592960 in words is "forty billion, eight hundred forty-one million, five hundred ninety-two thousand, nine hundred sixty".