401253219900 has 432 divisors, whose sum is σ = 1395537867360. Its totient is φ = 95802163200.

The previous prime is 401253219881. The next prime is 401253219953. The reversal of 401253219900 is 9912352104.

It is a super-2 number, since 2×401253219900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85863964 + ... + 85868636.

It is an arithmetic number, because the mean of its divisors is an integer number (3230411730).

Almost surely, 2^401253219900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401253219900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697768933680).

401253219900 is an abundant number, since it is smaller than the sum of its proper divisors (994284647460).

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

401253219900 is a wasteful number, since it uses less digits than its factorization.

401253219900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 401253219900 in words is "four hundred one billion, two hundred fifty-three million, two hundred nineteen thousand, nine hundred".