43781990400 has 1152 divisors, whose sum is σ = 179875987200. Its totient is φ = 10510663680.

The previous prime is 43781990393. The next prime is 43781990407. The reversal of 43781990400 is 409918734.

It is an interprime number because it is at equal distance from previous prime (43781990393) and next prime (43781990407).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (43781990407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903564789 + ... + 1903564811.

It is an arithmetic number, because the mean of its divisors is an integer number (156142350).

Almost surely, 2^43781990400 is an apocalyptic number.

43781990400 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 43781990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89937993600).

43781990400 is an abundant number, since it is smaller than the sum of its proper divisors (136093996800).

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

43781990400 is an equidigital number, since it uses as much as digits as its factorization.

43781990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 50 counting only the distinct ones).

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

The spelling of 43781990400 in words is "forty-three billion, seven hundred eighty-one million, nine hundred ninety thousand, four hundred".