401377536 has 216 divisors, whose sum is σ = 1357085184. Its totient is φ = 111697920.

The previous prime is 401377519. The next prime is 401377573. The reversal of 401377536 is 635773104.

401377536 is a `hidden beast` number, since 40 + 13 + 77 + 536 = 666.

It is a super-2 number, since 2×401377536² = 322207852810862592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 401377536.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660945 + ... + 661551.

Almost surely, 2^401377536 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 401377536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678542592).

401377536 is an abundant number, since it is smaller than the sum of its proper divisors (955707648).

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

401377536 is a wasteful number, since it uses less digits than its factorization.

401377536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 401377536 is about 20034.4088008606. The cubic root of 401377536 is about 737.6511449675.

The spelling of 401377536 in words is "four hundred one million, three hundred seventy-seven thousand, five hundred thirty-six".