4012977408 has 144 divisors (see below), whose sum is σ = 11923355136. Its totient is φ = 1187665920.

The previous prime is 4012977383. The next prime is 4012977421. The reversal of 4012977408 is 8047792104.

It is a happy number.

It is a super-2 number, since 2×4012977408² = 32207975354236796928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4012977408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357741 + ... + 368787.

Almost surely, 2^4012977408 is an apocalyptic number.

4012977408 is a gapful number since it is divisible by the number (48) 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 4012977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961677568).

4012977408 is an abundant number, since it is smaller than the sum of its proper divisors (7910377728).

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

4012977408 is a wasteful number, since it uses less digits than its factorization.

4012977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11120 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 4012977408 is about 63348.0655426825. The cubic root of 4012977408 is about 1589.1158947112.

The spelling of 4012977408 in words is "four billion, twelve million, nine hundred seventy-seven thousand, four hundred eight".