140251668480 has 1568 divisors, whose sum is σ = 639481177728. Its totient is φ = 28665446400.

The previous prime is 140251668437. The next prime is 140251668551. The reversal of 140251668480 is 84866152041.

It is a happy number.

140251668480 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 5 + 166 + 8 + 480 = 666.

It is a super-2 number, since 2×140251668480² (a number of 23 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 111 ways as a sum of consecutive naturals, for example, 2299207650 + ... + 2299207710.

Almost surely, 2^140251668480 is an apocalyptic number.

140251668480 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 140251668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319740588864).

140251668480 is an abundant number, since it is smaller than the sum of its proper divisors (499229509248).

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

140251668480 is an frugal number, since it uses more digits than its factorization.

140251668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 140251668480 in words is "one hundred forty billion, two hundred fifty-one million, six hundred sixty-eight thousand, four hundred eighty".