401012400 has 60 divisors (see below), whose sum is σ = 1284580232. Its totient is φ = 106936320.

The previous prime is 401012389. The next prime is 401012407. The reversal of 401012400 is 4210104.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401012407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165889 + ... + 168288.

Almost surely, 2^401012400 is an apocalyptic number.

401012400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401012400 is an abundant number, since it is smaller than the sum of its proper divisors (883567832).

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

401012400 is a wasteful number, since it uses less digits than its factorization.

401012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334198 (or 334187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 401012400 is about 20025.2940053324. The cubic root of 401012400 is about 737.4273949400.

Adding to 401012400 its reverse (4210104), we get a palindrome (405222504).

The spelling of 401012400 in words is "four hundred one million, twelve thousand, four hundred".