401469696000 has 960 divisors, whose sum is σ = 1576863288000. Its totient is φ = 101324390400.

The previous prime is 401469695999. The next prime is 401469696053. The reversal of 401469696000 is 696964104.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×401469696000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393983491 + ... + 393984509.

It is an arithmetic number, because the mean of its divisors is an integer number (1642565925).

Almost surely, 2^401469696000 is an apocalyptic number.

401469696000 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 401469696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788431644000).

401469696000 is an abundant number, since it is smaller than the sum of its proper divisors (1175393592000).

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

401469696000 is a wasteful number, since it uses less digits than its factorization.

401469696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 401469696000 in words is "four hundred one billion, four hundred sixty-nine million, six hundred ninety-six thousand".