1138484721600 has 672 divisors, whose sum is σ = 4303210291200. Its totient is φ = 292490956800.

The previous prime is 1138484721587. The next prime is 1138484721613. The reversal of 1138484721600 is 61274848311.

1138484721600 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 484 + 7 + 2 + 160 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1138484721587) and next prime (1138484721613).

It is a super-4 number, since 4×1138484721600⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 320067022 + ... + 320070578.

Almost surely, 2^{1138484721600} is an apocalyptic number.

1138484721600 is a gapful number since it is divisible by the number (10) 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 1138484721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151605145600).

1138484721600 is an abundant number, since it is smaller than the sum of its proper divisors (3164725569600).

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

1138484721600 is a wasteful number, since it uses less digits than its factorization.

1138484721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1138484721600 in words is "one trillion, one hundred thirty-eight billion, four hundred eighty-four million, seven hundred twenty-one thousand, six hundred".