1187740646400 has 2376 divisors, whose sum is σ = 5363649621120. Its totient is φ = 226271232000.

The previous prime is 1187740646383. The next prime is 1187740646413. The reversal of 1187740646400 is 46460477811.

It is a super-2 number, since 2×1187740646400² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1187740646400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38314214385 + ... + 38314214415.

Almost surely, 2^{1187740646400} is an apocalyptic number.

1187740646400 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 1187740646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681824810560).

1187740646400 is an abundant number, since it is smaller than the sum of its proper divisors (4175908974720).

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

1187740646400 is a wasteful number, since it uses less digits than its factorization.

1187740646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 1187740646400 in words is "one trillion, one hundred eighty-seven billion, seven hundred forty million, six hundred forty-six thousand, four hundred".