400013432423400 has 192 divisors, whose sum is σ = 1305322731230400. Its totient is φ = 101054806364160.

The previous prime is 400013432423393. The next prime is 400013432423411. The reversal of 400013432423400 is 4324234310004.

It is a happy number.

It is a super-3 number, since 3×400013432423400³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1290473232 + ... + 1290783168.

It is an arithmetic number, because the mean of its divisors is an integer number (6798555891825).

Almost surely, 2^{400013432423400} is an apocalyptic number.

400013432423400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400013432423400 is an abundant number, since it is smaller than the sum of its proper divisors (905309298807000).

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

400013432423400 is a wasteful number, since it uses less digits than its factorization.

400013432423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423188 (or 423179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 400013432423400 its reverse (4324234310004), we get a palindrome (404337666733404).

The spelling of 400013432423400 in words is "four hundred trillion, thirteen billion, four hundred thirty-two million, four hundred twenty-three thousand, four hundred".