140190946560 has 576 divisors, whose sum is σ = 570462412800. Its totient is φ = 31936094208.

The previous prime is 140190946543. The next prime is 140190946561. The reversal of 140190946560 is 65649091041.

It is a happy number.

140190946560 is a `hidden beast` number, since 1 + 40 + 1 + 9 + 0 + 9 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140190946561) 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, 88783851 + ... + 88785429.

Almost surely, 2^140190946560 is an apocalyptic number.

140190946560 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 140190946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285231206400).

140190946560 is an abundant number, since it is smaller than the sum of its proper divisors (430271466240).

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

140190946560 is a wasteful number, since it uses less digits than its factorization.

140190946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 140190946560 in words is "one hundred forty billion, one hundred ninety million, nine hundred forty-six thousand, five hundred sixty".