401076311130 has 256 divisors, whose sum is σ = 1185077329920. Its totient is φ = 95716857600.

The previous prime is 401076311113. The next prime is 401076311177. The reversal of 401076311130 is 31113670104.

401076311130 is a `hidden beast` number, since 4 + 0 + 10 + 7 + 631 + 1 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 401076311094 and 401076311103.

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 127 ways as a sum of consecutive naturals, for example, 49407832 + ... + 49415948.

It is an arithmetic number, because the mean of its divisors is an integer number (4629208320).

Almost surely, 2^401076311130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401076311130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592538664960).

401076311130 is an abundant number, since it is smaller than the sum of its proper divisors (784001018790).

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

401076311130 is a wasteful number, since it uses less digits than its factorization.

401076311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 401076311130 its reverse (31113670104), we get a palindrome (432189981234).

The spelling of 401076311130 in words is "four hundred one billion, seventy-six million, three hundred eleven thousand, one hundred thirty".