40076134560 has 1536 divisors, whose sum is σ = 195432652800. Its totient is φ = 7405240320.

The previous prime is 40076134489. The next prime is 40076134573. The reversal of 40076134560 is 6543167004.

It is a happy number.

40076134560 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 61 + 34 + 560 = 666.

It is a super-2 number, since 2×40076134560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 107442534 + ... + 107442906.

It is an arithmetic number, because the mean of its divisors is an integer number (127234800).

Almost surely, 2^40076134560 is an apocalyptic number.

40076134560 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 40076134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97716326400).

40076134560 is an abundant number, since it is smaller than the sum of its proper divisors (155356518240).

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

40076134560 is a wasteful number, since it uses less digits than its factorization.

40076134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 40076134560 in words is "forty billion, seventy-six million, one hundred thirty-four thousand, five hundred sixty".