140004245820960 has 288 divisors, whose sum is σ = 478557705815280. Its totient is φ = 37272507162624.

The previous prime is 140004245820947. The next prime is 140004245821007. The reversal of 140004245820960 is 69028542400041.

It is a happy number.

140004245820960 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 0 + 4 + 2 + 4 + 582 + 0 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4103395667856 + 135900850153104 = 2025684^2 + 11657652^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 4734176734 + ... + 4734206306.

Almost surely, 2^{140004245820960} is an apocalyptic number.

140004245820960 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 140004245820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239278852907640).

140004245820960 is an abundant number, since it is smaller than the sum of its proper divisors (338553459994320).

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

140004245820960 is a wasteful number, since it uses less digits than its factorization.

140004245820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34940 (or 34929 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 140004245820960 in words is "one hundred forty trillion, four billion, two hundred forty-five million, eight hundred twenty thousand, nine hundred sixty".