40764773952 has 336 divisors, whose sum is σ = 137967598080. Its totient is φ = 11266523136.

The previous prime is 40764773947. The next prime is 40764773983. The reversal of 40764773952 is 25937746704.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16864648 + ... + 16867064.

Almost surely, 2^40764773952 is an apocalyptic number.

40764773952 is a gapful number since it is divisible by the number (42) 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 40764773952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68983799040).

40764773952 is an abundant number, since it is smaller than the sum of its proper divisors (97202824128).

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

40764773952 is a wasteful number, since it uses less digits than its factorization.

40764773952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 40764773952 in words is "forty billion, seven hundred sixty-four million, seven hundred seventy-three thousand, nine hundred fifty-two".