4012779954240 has 672 divisors, whose sum is σ = 15054901056000. Its totient is φ = 977158619136.

The previous prime is 4012779954233. The next prime is 4012779954247. The reversal of 4012779954240 is 424599772104.

4012779954240 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 7 + 7 + 99 + 542 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4012779954233) and next prime (4012779954247).

It is a super-2 number, since 2×4012779954240² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4012779954247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1140964962 + ... + 1140968478.

Almost surely, 2^{4012779954240} is an apocalyptic number.

4012779954240 is a gapful number since it is divisible by the number (40) 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 4012779954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527450528000).

4012779954240 is an abundant number, since it is smaller than the sum of its proper divisors (11042121101760).

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

4012779954240 is a wasteful number, since it uses less digits than its factorization.

4012779954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4012779954240 in words is "four trillion, twelve billion, seven hundred seventy-nine million, nine hundred fifty-four thousand, two hundred forty".