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40675458240 = 2632538936307
BaseRepresentation
bin100101111000011100…
…100011110011000000
310212222202001101000100
4211320130203303000
51131300404130430
630404104122400
72636655455544
oct457034436300
9125882041010
1040675458240
111628326589a
127a72166400
133ab2cab1b1
141d7c197a24
1510d0e5c960
hex978723cc0

40675458240 has 168 divisors, whose sum is σ = 140270148720. Its totient is φ = 10818607104.

The previous prime is 40675458223. The next prime is 40675458283. The reversal of 40675458240 is 4285457604.

40675458240 is a `hidden beast` number, since 4 + 0 + 67 + 5 + 4 + 582 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102167 + ... + 1138473.

Almost surely, 240675458240 is an apocalyptic number.

40675458240 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 40675458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70135074360).

40675458240 is an abundant number, since it is smaller than the sum of its proper divisors (99594690480).

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

40675458240 is a wasteful number, since it uses less digits than its factorization.

40675458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36719 (or 36706 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 40675458240 in words is "forty billion, six hundred seventy-five million, four hundred fifty-eight thousand, two hundred forty".