40685911752960 has 1152 divisors, whose sum is σ = 153593060544000. Its totient is φ = 10182062112768.

The previous prime is 40685911752923. The next prime is 40685911752973. The reversal of 40685911752960 is 6925711958604.

40685911752960 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 5 + 91 + 17 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5789936967 + ... + 5789943993.

It is an arithmetic number, because the mean of its divisors is an integer number (133327309500).

Almost surely, 2^{40685911752960} is an apocalyptic number.

40685911752960 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 40685911752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76796530272000).

40685911752960 is an abundant number, since it is smaller than the sum of its proper divisors (112907148791040).

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

40685911752960 is a wasteful number, since it uses less digits than its factorization.

40685911752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 40685911752960 in words is "forty trillion, six hundred eighty-five billion, nine hundred eleven million, seven hundred fifty-two thousand, nine hundred sixty".