405254031131040 has 384 divisors, whose sum is σ = 1571818949148672. Its totient is φ = 85467127173120.

The previous prime is 405254031131029. The next prime is 405254031131083. The reversal of 405254031131040 is 40131130452504.

It is a junction number, because it is equal to n+sod(n) for n = 405254031130992 and 405254031131010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98937169 + ... + 102951791.

It is an arithmetic number, because the mean of its divisors is an integer number (4093278513408).

Almost surely, 2^{405254031131040} is an apocalyptic number.

405254031131040 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 405254031131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785909474574336).

405254031131040 is an abundant number, since it is smaller than the sum of its proper divisors (1166564918017632).

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

405254031131040 is a wasteful number, since it uses less digits than its factorization.

405254031131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016972 (or 4016964 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 405254031131040 its reverse (40131130452504), we get a palindrome (445385161583544).

The spelling of 405254031131040 in words is "four hundred five trillion, two hundred fifty-four billion, thirty-one million, one hundred thirty-one thousand, forty".