40639072733952 has 1152 divisors, whose sum is σ = 143550822481920. Its totient is φ = 9894635520000.

The previous prime is 40639072733933. The next prime is 40639072733983. The reversal of 40639072733952 is 25933727093604.

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, 17285865577 + ... + 17285867927.

It is an arithmetic number, because the mean of its divisors is an integer number (124610088960).

Almost surely, 2^{40639072733952} is an apocalyptic number.

40639072733952 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 40639072733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71775411240960).

40639072733952 is an abundant number, since it is smaller than the sum of its proper divisors (102911749747968).

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

40639072733952 is a wasteful number, since it uses less digits than its factorization.

40639072733952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 60.

The spelling of 40639072733952 in words is "forty trillion, six hundred thirty-nine billion, seventy-two million, seven hundred thirty-three thousand, nine hundred fifty-two".