140390248320 has 768 divisors, whose sum is σ = 590612705280. Its totient is φ = 30031626240.

The previous prime is 140390248319. The next prime is 140390248373. The reversal of 140390248320 is 23842093041.

140390248320 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 90 + 248 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 43584310 + ... + 43587530.

It is an arithmetic number, because the mean of its divisors is an integer number (769026960).

Almost surely, 2^140390248320 is an apocalyptic number.

140390248320 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 140390248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295306352640).

140390248320 is an abundant number, since it is smaller than the sum of its proper divisors (450222456960).

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

140390248320 is a wasteful number, since it uses less digits than its factorization.

140390248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 140390248320 in words is "one hundred forty billion, three hundred ninety million, two hundred forty-eight thousand, three hundred twenty".