43198790400 has 756 divisors, whose sum is σ = 164554280352. Its totient is φ = 11217346560.

The previous prime is 43198790347. The next prime is 43198790441. The reversal of 43198790400 is 409789134.

43198790400 is a `hidden beast` number, since 431 + 98 + 7 + 90 + 40 + 0 = 666.

It is a super-2 number, since 2×43198790400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 219283102 + ... + 219283298.

It is an arithmetic number, because the mean of its divisors is an integer number (217664392).

Almost surely, 2^43198790400 is an apocalyptic number.

43198790400 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 43198790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82277140176).

43198790400 is an abundant number, since it is smaller than the sum of its proper divisors (121355489952).

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

43198790400 is an equidigital number, since it uses as much as digits as its factorization.

43198790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 43198790400 in words is "forty-three billion, one hundred ninety-eight million, seven hundred ninety thousand, four hundred".