140720433575040 has 384 divisors, whose sum is σ = 530739913204800. Its totient is φ = 34072880947200.

The previous prime is 140720433574957. The next prime is 140720433575077. The reversal of 140720433575040 is 40575334027041.

It is a happy number.

140720433575040 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 2 + 0 + 4 + 33 + 575 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×140720433575040² (a number of 29 digits) contains 22 as substring.

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, 51185895 + ... + 53864985.

Almost surely, 2^{140720433575040} is an apocalyptic number.

140720433575040 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 140720433575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265369956602400).

140720433575040 is an abundant number, since it is smaller than the sum of its proper divisors (390019479629760).

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

140720433575040 is a wasteful number, since it uses less digits than its factorization.

140720433575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679956 (or 2679941 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 140720433575040 in words is "one hundred forty trillion, seven hundred twenty billion, four hundred thirty-three million, five hundred seventy-five thousand, forty".