401020400 has 60 divisors (see below), whose sum is σ = 1051049544. Its totient is φ = 145824000.

The previous prime is 401020391. The next prime is 401020423. The reversal of 401020400 is 4020104.

It is a super-2 number, since 2×401020400² = 321634722432320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41171 + ... + 49970.

Almost surely, 2^401020400 is an apocalyptic number.

401020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401020400 is an abundant number, since it is smaller than the sum of its proper divisors (650029144).

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

401020400 is a wasteful number, since it uses less digits than its factorization.

401020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91170 (or 91159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 401020400 is about 20025.4937517156. The cubic root of 401020400 is about 737.4322986785.

Adding to 401020400 its reverse (4020104), we get a palindrome (405040504).

The spelling of 401020400 in words is "four hundred one million, twenty thousand, four hundred".