401407706700 has 1440 divisors, whose sum is σ = 1804559167488. Its totient is φ = 74462976000.

The previous prime is 401407706683. The next prime is 401407706729. The reversal of 401407706700 is 7607704104.

It is a super-2 number, since 2×401407706700² (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 an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 251350302 + ... + 251351898.

Almost surely, 2^401407706700 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 401407706700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902279583744).

401407706700 is an abundant number, since it is smaller than the sum of its proper divisors (1403151460788).

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

401407706700 is a wasteful number, since it uses less digits than its factorization.

401407706700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 401407706700 in words is "four hundred one billion, four hundred seven million, seven hundred six thousand, seven hundred".