401187790080 has 1296 divisors, whose sum is σ = 1827484835904. Its totient is φ = 83328860160.

The previous prime is 401187790057. The next prime is 401187790117. The reversal of 401187790080 is 80097781104.

401187790080 is a `hidden beast` number, since 401 + 1 + 87 + 7 + 90 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 167649364 + ... + 167651756.

It is an arithmetic number, because the mean of its divisors is an integer number (1410096324).

Almost surely, 2^401187790080 is an apocalyptic number.

401187790080 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 401187790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913742417952).

401187790080 is an abundant number, since it is smaller than the sum of its proper divisors (1426297045824).

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

401187790080 is a wasteful number, since it uses less digits than its factorization.

401187790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 401187790080 in words is "four hundred one billion, one hundred eighty-seven million, seven hundred ninety thousand, eighty".