4261147980480 has 336 divisors, whose sum is σ = 14733937146240. Its totient is φ = 1130324557824.

The previous prime is 4261147980451. The next prime is 4261147980521. The reversal of 4261147980480 is 840897411624.

4261147980480 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 14 + 79 + 80 + 480 = 666.

It is a super-2 number, since 2×4261147980480² (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 47 ways as a sum of consecutive naturals, for example, 432291712 + ... + 432301568.

Almost surely, 2^{4261147980480} is an apocalyptic number.

4261147980480 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 4261147980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366968573120).

4261147980480 is an abundant number, since it is smaller than the sum of its proper divisors (10472789165760).

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

4261147980480 is a wasteful number, since it uses less digits than its factorization.

4261147980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10656 (or 10643 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4261147980480 in words is "four trillion, two hundred sixty-one billion, one hundred forty-seven million, nine hundred eighty thousand, four hundred eighty".