140147408007360 has 672 divisors, whose sum is σ = 531982919377728. Its totient is φ = 33651191808000.

The previous prime is 140147408007353. The next prime is 140147408007389. The reversal of 140147408007360 is 63700804741041.

140147408007360 is a `hidden beast` number, since 1 + 40 + 1 + 474 + 0 + 80 + 0 + 7 + 3 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 343083235 + ... + 343491485.

It is an arithmetic number, because the mean of its divisors is an integer number (791641249074).

Almost surely, 2^{140147408007360} is an apocalyptic number.

140147408007360 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 140147408007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265991459688864).

140147408007360 is an abundant number, since it is smaller than the sum of its proper divisors (391835511370368).

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

140147408007360 is a wasteful number, since it uses less digits than its factorization.

140147408007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408513 (or 408500 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 140147408007360 in words is "one hundred forty trillion, one hundred forty-seven billion, four hundred eight million, seven thousand, three hundred sixty".