40770423252864 has 128 divisors (see below), whose sum is σ = 120361854564000. Its totient is φ = 13586472714240.

The previous prime is 40770423252857. The next prime is 40770423252893. The reversal of 40770423252864 is 46825232407704.

40770423252864 is a `hidden beast` number, since 4 + 0 + 7 + 70 + 42 + 3 + 2 + 528 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40770423252864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11227984 + ... + 14408624.

Almost surely, 2^{40770423252864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40770423252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60180927282000).

40770423252864 is an abundant number, since it is smaller than the sum of its proper divisors (79591431311136).

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

40770423252864 is a wasteful number, since it uses less digits than its factorization.

40770423252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184373 (or 3184355 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 40770423252864 in words is "forty trillion, seven hundred seventy billion, four hundred twenty-three million, two hundred fifty-two thousand, eight hundred sixty-four".