1207332892416 has 864 divisors, whose sum is σ = 4037253857280. Its totient is φ = 318637670400.

The previous prime is 1207332892393. The next prime is 1207332892421. The reversal of 1207332892416 is 6142982337021.

It is a super-5 number, since 5×1207332892416⁵ (a number of 62 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 4296558196 + ... + 4296558476.

It is an arithmetic number, because the mean of its divisors is an integer number (4672747520).

Almost surely, 2^{1207332892416} is an apocalyptic number.

1207332892416 is a gapful number since it is divisible by the number (16) 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 1207332892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018626928640).

1207332892416 is an abundant number, since it is smaller than the sum of its proper divisors (2829920964864).

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

1207332892416 is a wasteful number, since it uses less digits than its factorization.

1207332892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 1207332892416 in words is "one trillion, two hundred seven billion, three hundred thirty-two million, eight hundred ninety-two thousand, four hundred sixteen".