400136613600 has 288 divisors, whose sum is σ = 1336165479936. Its totient is φ = 103948185600.

The previous prime is 400136613599. The next prime is 400136613629. The reversal of 400136613600 is 6316631004.

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

It is a congruent number.

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, 77438217 + ... + 77443383.

It is an arithmetic number, because the mean of its divisors is an integer number (4639463472).

Almost surely, 2^400136613600 is an apocalyptic number.

400136613600 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 400136613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668082739968).

400136613600 is an abundant number, since it is smaller than the sum of its proper divisors (936028866336).

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

400136613600 is a wasteful number, since it uses less digits than its factorization.

400136613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 400136613600 in words is "four hundred billion, one hundred thirty-six million, six hundred thirteen thousand, six hundred".