405031122400 has 144 divisors (see below), whose sum is σ = 1033181872128. Its totient is φ = 154756800000.

The previous prime is 405031122371. The next prime is 405031122409. The reversal of 405031122400 is 4221130504.

It is a super-2 number, since 2×405031122400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405031122409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13803745 + ... + 13833055.

It is an arithmetic number, because the mean of its divisors is an integer number (7174874112).

Almost surely, 2^405031122400 is an apocalyptic number.

405031122400 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 405031122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516590936064).

405031122400 is an abundant number, since it is smaller than the sum of its proper divisors (628150749728).

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

405031122400 is a wasteful number, since it uses less digits than its factorization.

405031122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30105 (or 30092 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 405031122400 its reverse (4221130504), we get a palindrome (409252252904).

The spelling of 405031122400 in words is "four hundred five billion, thirty-one million, one hundred twenty-two thousand, four hundred".