1087408895040 has 1344 divisors, whose sum is σ = 4467448235520. Its totient is φ = 247973806080.

The previous prime is 1087408895029. The next prime is 1087408895051. The reversal of 1087408895040 is 405988047801.

1087408895040 is a `hidden beast` number, since 10 + 8 + 7 + 40 + 8 + 89 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1087408895029) and next prime (1087408895051).

It is a super-2 number, since 2×1087408895040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1762412812 + ... + 1762413428.

Almost surely, 2^{1087408895040} is an apocalyptic number.

1087408895040 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 1087408895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233724117760).

1087408895040 is an abundant number, since it is smaller than the sum of its proper divisors (3380039340480).

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

1087408895040 is a wasteful number, since it uses less digits than its factorization.

1087408895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1087408895040 in words is "one trillion, eighty-seven billion, four hundred eight million, eight hundred ninety-five thousand, forty".