396988775040 has 512 divisors, whose sum is σ = 1489433702400. Its totient is φ = 88668979200.

The previous prime is 396988775039. The next prime is 396988775047. The reversal of 396988775040 is 40577889693.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (396988775047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197407635 + ... + 197409645.

It is an arithmetic number, because the mean of its divisors is an integer number (2909050200).

Almost surely, 2^396988775040 is an apocalyptic number.

396988775040 is a gapful number since it is divisible by the number (30) 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 396988775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744716851200).

396988775040 is an abundant number, since it is smaller than the sum of its proper divisors (1092444927360).

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

396988775040 is a wasteful number, since it uses less digits than its factorization.

396988775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 396988775040 in words is "three hundred ninety-six billion, nine hundred eighty-eight million, seven hundred seventy-five thousand, forty".