401140992 has 288 divisors, whose sum is σ = 1318625280. Its totient is φ = 105799680.

The previous prime is 401140981. The next prime is 401141003. The reversal of 401140992 is 299041104.

It is an interprime number because it is at equal distance from previous prime (401140981) and next prime (401141003).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4832983 + ... + 4833065.

It is an arithmetic number, because the mean of its divisors is an integer number (4578560).

Almost surely, 2^401140992 is an apocalyptic number.

401140992 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 401140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

401140992 is an abundant number, since it is smaller than the sum of its proper divisors (917484288).

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

401140992 is a wasteful number, since it uses less digits than its factorization.

401140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 401140992 is about 20028.5044873550. The cubic root of 401140992 is about 737.5062097342.

The spelling of 401140992 in words is "four hundred one million, one hundred forty thousand, nine hundred ninety-two".