401900005440 has 504 divisors, whose sum is σ = 1455487470528. Its totient is φ = 101776435200.

The previous prime is 401900005427. The next prime is 401900005499. The reversal of 401900005440 is 44500009104.

It is a super-2 number, since 2×401900005440² (a number of 24 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 230050647 + ... + 230052393.

Almost surely, 2^401900005440 is an apocalyptic number.

401900005440 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 401900005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727743735264).

401900005440 is an abundant number, since it is smaller than the sum of its proper divisors (1053587465088).

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

401900005440 is a wasteful number, since it uses less digits than its factorization.

401900005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 401900005440 in words is "four hundred one billion, nine hundred million, five thousand, four hundred forty".