400523134424504 has 256 divisors, whose sum is σ = 985829018388480. Its totient is φ = 148036228300800.

The previous prime is 400523134424489. The next prime is 400523134424519. The reversal of 400523134424504 is 405424431325004.

It is an interprime number because it is at equal distance from previous prime (400523134424489) and next prime (400523134424519).

It is a super-2 number, since 2×400523134424504² (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 63 ways as a sum of consecutive naturals, for example, 2677881227 + ... + 2678030789.

It is an arithmetic number, because the mean of its divisors is an integer number (3850894603080).

Almost surely, 2^{400523134424504} 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 400523134424504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492914509194240).

400523134424504 is an abundant number, since it is smaller than the sum of its proper divisors (585305883963976).

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

400523134424504 is a wasteful number, since it uses less digits than its factorization.

400523134424504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151190 (or 151186 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 41.

Adding to 400523134424504 its reverse (405424431325004), we get a palindrome (805947565749508).

The spelling of 400523134424504 in words is "four hundred trillion, five hundred twenty-three billion, one hundred thirty-four million, four hundred twenty-four thousand, five hundred four".