3140090748480 has 224 divisors, whose sum is σ = 11550128166144. Its totient is φ = 707902930944.

The previous prime is 3140090748467. The next prime is 3140090748523. The reversal of 3140090748480 is 848470900413.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2709957 + ... + 3691076.

Almost surely, 2^{3140090748480} is an apocalyptic number.

3140090748480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140090748480 is an abundant number, since it is smaller than the sum of its proper divisors (8410037417664).

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

3140090748480 is a wasteful number, since it uses less digits than its factorization.

3140090748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401133 (or 6401123 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 3140090748480 in words is "three trillion, one hundred forty billion, ninety million, seven hundred forty-eight thousand, four hundred eighty".