43387973857440 has 480 divisors, whose sum is σ = 162154560007440. Its totient is φ = 10887924842496.

The previous prime is 43387973857369. The next prime is 43387973857453. The reversal of 43387973857440 is 4475837978334.

43387973857440 is a `hidden beast` number, since 4 + 3 + 3 + 8 + 7 + 9 + 7 + 3 + 8 + 574 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8971870014864 + 34416103842576 = 2995308^2 + 5866524^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2377023354 + ... + 2377041606.

Almost surely, 2^{43387973857440} is an apocalyptic number.

43387973857440 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 43387973857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81077280003720).

43387973857440 is an abundant number, since it is smaller than the sum of its proper divisors (118766586150000).

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

43387973857440 is a wasteful number, since it uses less digits than its factorization.

43387973857440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29086 (or 29069 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 43387973857440 in words is "forty-three trillion, three hundred eighty-seven billion, nine hundred seventy-three million, eight hundred fifty-seven thousand, four hundred forty".