401407749093120 has 3456 divisors, whose sum is σ = 1753653888000000. Its totient is φ = 75804976742400.

The previous prime is 401407749093103. The next prime is 401407749093167. The reversal of 401407749093120 is 21390947704104.

It is a super-2 number, since 2×401407749093120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 804424346631 + ... + 804424347129.

It is an arithmetic number, because the mean of its divisors is an integer number (507423000000).

Almost surely, 2^{401407749093120} is an apocalyptic number.

401407749093120 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 401407749093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876826944000000).

401407749093120 is an abundant number, since it is smaller than the sum of its proper divisors (1352246138906880).

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

401407749093120 is a wasteful number, since it uses less digits than its factorization.

401407749093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 401407749093120 in words is "four hundred one trillion, four hundred seven billion, seven hundred forty-nine million, ninety-three thousand, one hundred twenty".