140973009408000 has 3744 divisors, whose sum is σ = 650370154711680. Its totient is φ = 29045882880000.

The previous prime is 140973009407983. The next prime is 140973009408013. The reversal of 140973009408000 is 804900379041.

140973009408000 is a `hidden beast` number, since 140 + 97 + 300 + 9 + 40 + 80 + 0 + 0 = 666.

140973009408000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 524063231866 + ... + 524063232134.

It is an arithmetic number, because the mean of its divisors is an integer number (173709977220).

Almost surely, 2^{140973009408000} is an apocalyptic number.

140973009408000 is a gapful number since it is divisible by the number (10) 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 140973009408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325185077355840).

140973009408000 is an abundant number, since it is smaller than the sum of its proper divisors (509397145303680).

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

140973009408000 is a wasteful number, since it uses less digits than its factorization.

140973009408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 508 counting only the distinct ones).

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

The spelling of 140973009408000 in words is "one hundred forty trillion, nine hundred seventy-three billion, nine million, four hundred eight thousand".