140902295040 has 640 divisors, whose sum is σ = 542114052480. Its totient is φ = 34483470336.

The previous prime is 140902295021. The next prime is 140902295047. The reversal of 140902295040 is 40592209041.

140902295040 is a `hidden beast` number, since 1 + 40 + 90 + 2 + 29 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 140902294986 and 140902295004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140902295047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209364144 + ... + 209364816.

It is an arithmetic number, because the mean of its divisors is an integer number (847053207).

Almost surely, 2^140902295040 is an apocalyptic number.

140902295040 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 140902295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271057026240).

140902295040 is an abundant number, since it is smaller than the sum of its proper divisors (401211757440).

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

140902295040 is a wasteful number, since it uses less digits than its factorization.

140902295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 140902295040 in words is "one hundred forty billion, nine hundred two million, two hundred ninety-five thousand, forty".