4140761974272 has 960 divisors, whose sum is σ = 15542533214208. Its totient is φ = 1029832704000.

The previous prime is 4140761974259. The next prime is 4140761974319. The reversal of 4140761974272 is 2724791670414.

4140761974272 is a `hidden beast` number, since 4 + 1 + 407 + 6 + 197 + 42 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 1066929772 + ... + 1066933652.

Almost surely, 2^{4140761974272} is an apocalyptic number.

4140761974272 is a gapful number since it is divisible by the number (42) 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 4140761974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771266607104).

4140761974272 is an abundant number, since it is smaller than the sum of its proper divisors (11401771239936).

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

4140761974272 is a wasteful number, since it uses less digits than its factorization.

4140761974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 4140761974272 in words is "four trillion, one hundred forty billion, seven hundred sixty-one million, nine hundred seventy-four thousand, two hundred seventy-two".