4098977156736 has 1024 divisors, whose sum is σ = 15339442176000. Its totient is φ = 1059770511360.

The previous prime is 4098977156719. The next prime is 4098977156749. The reversal of 4098977156736 is 6376517798904.

It is a happy number.

4098977156736 is a `hidden beast` number, since 409 + 8 + 97 + 71 + 5 + 67 + 3 + 6 = 666.

4098977156736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4098977156736² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 8557363345 + ... + 8557363823.

It is an arithmetic number, because the mean of its divisors is an integer number (14979924000).

Almost surely, 2^{4098977156736} 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 4098977156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7669721088000).

4098977156736 is an abundant number, since it is smaller than the sum of its proper divisors (11240465019264).

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

4098977156736 is an equidigital number, since it uses as much as digits as its factorization.

4098977156736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 4098977156736 in words is "four trillion, ninety-eight billion, nine hundred seventy-seven million, one hundred fifty-six thousand, seven hundred thirty-six".