401987942400 has 864 divisors, whose sum is σ = 1497650394240. Its totient is φ = 94996070400.

The previous prime is 401987942381. The next prime is 401987942417. The reversal of 401987942400 is 4249789104.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 401987942400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 799180549 + ... + 799181051.

It is an arithmetic number, because the mean of its divisors is an integer number (1733391660).

Almost surely, 2^401987942400 is an apocalyptic number.

401987942400 is a gapful number since it is divisible by the number (40) 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 401987942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748825197120).

401987942400 is an abundant number, since it is smaller than the sum of its proper divisors (1095662451840).

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

401987942400 is a wasteful number, since it uses less digits than its factorization.

401987942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 401987942400 in words is "four hundred one billion, nine hundred eighty-seven million, nine hundred forty-two thousand, four hundred".