1187951063040 has 1664 divisors, whose sum is σ = 5265305856000. Its totient is φ = 247924260864.

The previous prime is 1187951062967. The next prime is 1187951063071. The reversal of 1187951063040 is 403601597811.

1187951063040 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 9 + 5 + 1 + 0 + 630 + 4 + 0 = 666.

It is a super-2 number, since 2×1187951063040² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2132766442 + ... + 2132766998.

Almost surely, 2^{1187951063040} is an apocalyptic number.

1187951063040 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 1187951063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632652928000).

1187951063040 is an abundant number, since it is smaller than the sum of its proper divisors (4077354792960).

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

1187951063040 is a wasteful number, since it uses less digits than its factorization.

1187951063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1187951063040 in words is "one trillion, one hundred eighty-seven billion, nine hundred fifty-one million, sixty-three thousand, forty".