401163145701120 has 1728 divisors, whose sum is σ = 1623726423760896. Its totient is φ = 90523238400000.

The previous prime is 401163145701113. The next prime is 401163145701163. The reversal of 401163145701120 is 21107541361104.

401163145701120 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 63 + 1 + 4 + 570 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11435321980 + ... + 11435357060.

It is an arithmetic number, because the mean of its divisors is an integer number (939656495232).

Almost surely, 2^{401163145701120} is an apocalyptic number.

401163145701120 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 401163145701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811863211880448).

401163145701120 is an abundant number, since it is smaller than the sum of its proper divisors (1222563278059776).

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

401163145701120 is a wasteful number, since it uses less digits than its factorization.

401163145701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35262 (or 35245 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 401163145701120 in words is "four hundred one trillion, one hundred sixty-three billion, one hundred forty-five million, seven hundred one thousand, one hundred twenty".