401878563840 has 2112 divisors, whose sum is σ = 1751063408640. Its totient is φ = 84085309440.

The previous prime is 401878563811. The next prime is 401878563847. The reversal of 401878563840 is 48365878104.

401878563840 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 78 + 563 + 8 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401878563847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5998187487 + ... + 5998187553.

Almost surely, 2^401878563840 is an apocalyptic number.

401878563840 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 401878563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875531704320).

401878563840 is an abundant number, since it is smaller than the sum of its proper divisors (1349184844800).

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

401878563840 is a wasteful number, since it uses less digits than its factorization.

401878563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 401878563840 in words is "four hundred one billion, eight hundred seventy-eight million, five hundred sixty-three thousand, eight hundred forty".