401069117790 has 320 divisors, whose sum is σ = 1239604134912. Its totient is φ = 92093760000.

The previous prime is 401069117753. The next prime is 401069117797. The reversal of 401069117790 is 97711960104.

401069117790 is a `hidden beast` number, since 401 + 0 + 6 + 91 + 1 + 77 + 90 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401069117797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21098290 + ... + 21117290.

Almost surely, 2^401069117790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401069117790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619802067456).

401069117790 is an abundant number, since it is smaller than the sum of its proper divisors (838535017122).

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

401069117790 is a wasteful number, since it uses less digits than its factorization.

401069117790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19157 (or 19148 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 401069117790 in words is "four hundred one billion, sixty-nine million, one hundred seventeen thousand, seven hundred ninety".