401405310523540 has 192 divisors, whose sum is σ = 906901950253824. Its totient is φ = 148706266447872.

The previous prime is 401405310523537. The next prime is 401405310523541. The reversal of 401405310523540 is 45325013504104.

It is a super-2 number, since 2×401405310523540² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401405310523540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401405310523541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4725319347 + ... + 4725404293.

It is an arithmetic number, because the mean of its divisors is an integer number (4723447657572).

Almost surely, 2^{401405310523540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401405310523540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453450975126912).

401405310523540 is an abundant number, since it is smaller than the sum of its proper divisors (505496639730284).

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

401405310523540 is a wasteful number, since it uses less digits than its factorization.

401405310523540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85946 (or 85944 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 401405310523540 in words is "four hundred one trillion, four hundred five billion, three hundred ten million, five hundred twenty-three thousand, five hundred forty".