401292920000 has 280 divisors, whose sum is σ = 1197099805440. Its totient is φ = 130343040000.

The previous prime is 401292919987. The next prime is 401292920029. The reversal of 401292920000 is 29292104.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×401292920000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5282285 + ... + 5357715.

It is an arithmetic number, because the mean of its divisors is an integer number (4275356448).

Almost surely, 2^401292920000 is an apocalyptic number.

401292920000 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 401292920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598549902720).

401292920000 is an abundant number, since it is smaller than the sum of its proper divisors (795806885440).

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

401292920000 is an equidigital number, since it uses as much as digits as its factorization.

401292920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75489 (or 75464 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 401292920000 in words is "four hundred one billion, two hundred ninety-two million, nine hundred twenty thousand".