4150998760000 has 315 divisors, whose sum is σ = 10527671579997. Its totient is φ = 1623400320000.

The previous prime is 4150998759989. The next prime is 4150998760001. The reversal of 4150998760000 is 678990514.

The square root of 4150998760000 is 2037400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4107561530944 + 43437229056 = 2026712^2 + 208416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4150998760001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24856279917 + ... + 24856280083.

Almost surely, 2^{4150998760000} is an apocalyptic number.

4150998760000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4150998760000 is the 2037400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4150998760000

4150998760000 is an abundant number, since it is smaller than the sum of its proper divisors (6376672819997).

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

4150998760000 is an frugal number, since it uses more digits than its factorization.

4150998760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 4150998760000 by its sum of digits (49), we get a square (203398939240000 = 14261800²).

The spelling of 4150998760000 in words is "four trillion, one hundred fifty billion, nine hundred ninety-eight million, seven hundred sixty thousand".