40787525734560 has 2304 divisors, whose sum is σ = 174859969536000. Its totient is φ = 8790126428160.

The previous prime is 40787525734537. The next prime is 40787525734567. The reversal of 40787525734560 is 6543752578704.

It is a happy number.

40787525734560 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 7 + 5 + 2 + 573 + 4 + 56 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (40787525734567) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18718459551 + ... + 18718461729.

It is an arithmetic number, because the mean of its divisors is an integer number (75894084000).

Almost surely, 2^{40787525734560} is an apocalyptic number.

40787525734560 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 40787525734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87429984768000).

40787525734560 is an abundant number, since it is smaller than the sum of its proper divisors (134072443801440).

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

40787525734560 is a wasteful number, since it uses less digits than its factorization.

40787525734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 197568000, while the sum is 63.

The spelling of 40787525734560 in words is "forty trillion, seven hundred eighty-seven billion, five hundred twenty-five million, seven hundred thirty-four thousand, five hundred sixty".