401351334521440 has 96 divisors (see below), whose sum is σ = 954033559262784. Its totient is φ = 159551905136640.

The previous prime is 401351334521419. The next prime is 401351334521497. The reversal of 401351334521440 is 44125433153104.

It is a super-2 number, since 2×401351334521440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 401351334521393 and 401351334521402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155216760 + ... + 157781320.

It is an arithmetic number, because the mean of its divisors is an integer number (9937849575654).

Almost surely, 2^{401351334521440} is an apocalyptic number.

401351334521440 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 401351334521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477016779631392).

401351334521440 is an abundant number, since it is smaller than the sum of its proper divisors (552682224741344).

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

401351334521440 is a wasteful number, since it uses less digits than its factorization.

401351334521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570600 (or 2570592 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 401351334521440 its reverse (44125433153104), we get a palindrome (445476767674544).

The spelling of 401351334521440 in words is "four hundred one trillion, three hundred fifty-one billion, three hundred thirty-four million, five hundred twenty-one thousand, four hundred forty".