3977552801040 has 480 divisors, whose sum is σ = 15532341866496. Its totient is φ = 834577551360.

The previous prime is 3977552801023. The next prime is 3977552801137. The reversal of 3977552801040 is 401082557793.

It is a super-2 number, since 2×3977552801040² (a number of 26 digits) contains 22 as substring.

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, 27599409 + ... + 27743151.

Almost surely, 2^{3977552801040} is an apocalyptic number.

3977552801040 is a gapful number since it is divisible by the number (30) 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 3977552801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766170933248).

3977552801040 is an abundant number, since it is smaller than the sum of its proper divisors (11554789065456).

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

3977552801040 is a wasteful number, since it uses less digits than its factorization.

3977552801040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143967 (or 143954 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 3977552801040 in words is "three trillion, nine hundred seventy-seven billion, five hundred fifty-two million, eight hundred one thousand, forty".