140442396998400 has 1728 divisors, whose sum is σ = 595188332175360. Its totient is φ = 31741308518400.

The previous prime is 140442396998357. The next prime is 140442396998513. The reversal of 140442396998400 is 4899693244041.

140442396998400 is a `hidden beast` number, since 1 + 4 + 0 + 442 + 3 + 9 + 69 + 98 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48646481757 + ... + 48646484643.

Almost surely, 2^{140442396998400} is an apocalyptic number.

140442396998400 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 140442396998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297594166087680).

140442396998400 is an abundant number, since it is smaller than the sum of its proper divisors (454745935176960).

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

140442396998400 is a wasteful number, since it uses less digits than its factorization.

140442396998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 140442396998400 in words is "one hundred forty trillion, four hundred forty-two billion, three hundred ninety-six million, nine hundred ninety-eight thousand, four hundred".