40389253632000 has 2496 divisors, whose sum is σ = 182251736808960. Its totient is φ = 8376680448000.

The previous prime is 40389253631941. The next prime is 40389253632001. The reversal of 40389253632000 is 23635298304.

40389253632000 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 9 + 2 + 5 + 3 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 (40389253632001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25579007211 + ... + 25579008789.

It is an arithmetic number, because the mean of its divisors is an integer number (73017522760).

Almost surely, 2^{40389253632000} is an apocalyptic number.

40389253632000 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 40389253632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91125868404480).

40389253632000 is an abundant number, since it is smaller than the sum of its proper divisors (141862483176960).

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

40389253632000 is a wasteful number, since it uses less digits than its factorization.

40389253632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 40389253632000 in words is "forty trillion, three hundred eighty-nine billion, two hundred fifty-three million, six hundred thirty-two thousand".