401133161520 has 640 divisors, whose sum is σ = 1774486425600. Its totient is φ = 80954007552.

The previous prime is 401133161509. The next prime is 401133161581. The reversal of 401133161520 is 25161331104.

It is a happy number.

401133161520 is a `hidden beast` number, since 4 + 0 + 1 + 13 + 31 + 615 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4476516 + ... + 4565244.

It is an arithmetic number, because the mean of its divisors is an integer number (2772635040).

Almost surely, 2^401133161520 is an apocalyptic number.

401133161520 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 401133161520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887243212800).

401133161520 is an abundant number, since it is smaller than the sum of its proper divisors (1373353264080).

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

401133161520 is a wasteful number, since it uses less digits than its factorization.

401133161520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88794 (or 88782 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 401133161520 its reverse (25161331104), we get a palindrome (426294492624).

The spelling of 401133161520 in words is "four hundred one billion, one hundred thirty-three million, one hundred sixty-one thousand, five hundred twenty".