3007146240144 has 640 divisors, whose sum is σ = 9427444224000. Its totient is φ = 926946478080.

The previous prime is 3007146240121. The next prime is 3007146240191. The reversal of 3007146240144 is 4410426417003.

3007146240144 is a `hidden beast` number, since 3 + 0 + 0 + 7 + 14 + 624 + 0 + 14 + 4 = 666.

It is a super-2 number, since 2×3007146240144² (a number of 26 digits) contains 22 as substring.

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 = 3007146240099 and 3007146240108.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3428900634 + ... + 3428901510.

It is an arithmetic number, because the mean of its divisors is an integer number (14730381600).

Almost surely, 2^{3007146240144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3007146240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713722112000).

3007146240144 is an abundant number, since it is smaller than the sum of its proper divisors (6420297983856).

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

3007146240144 is a wasteful number, since it uses less digits than its factorization.

3007146240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3007146240144 in words is "three trillion, seven billion, one hundred forty-six million, two hundred forty thousand, one hundred forty-four".