400193740800 has 1344 divisors, whose sum is σ = 1722705216000. Its totient is φ = 91039334400.

The previous prime is 400193740789. The next prime is 400193740853. The reversal of 400193740800 is 8047391004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1896652695 + ... + 1896652905.

Almost surely, 2^400193740800 is an apocalyptic number.

400193740800 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 400193740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861352608000).

400193740800 is an abundant number, since it is smaller than the sum of its proper divisors (1322511475200).

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

400193740800 is an equidigital number, since it uses as much as digits as its factorization.

400193740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 400193740800 in words is "four hundred billion, one hundred ninety-three million, seven hundred forty thousand, eight hundred".