1087408462140 has 576 divisors, whose sum is σ = 4442341542912. Its totient is φ = 207932313600.

The previous prime is 1087408462123. The next prime is 1087408462157. The reversal of 1087408462140 is 412648047801.

1087408462140 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 40 + 8 + 462 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (1087408462123) and next prime (1087408462157).

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 191 ways as a sum of consecutive naturals, for example, 59630464 + ... + 59648696.

It is an arithmetic number, because the mean of its divisors is an integer number (7712398512).

Almost surely, 2^{1087408462140} is an apocalyptic number.

1087408462140 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 1087408462140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221170771456).

1087408462140 is an abundant number, since it is smaller than the sum of its proper divisors (3354933080772).

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

1087408462140 is a wasteful number, since it uses less digits than its factorization.

1087408462140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18610 (or 18605 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1087408462140 in words is "one trillion, eighty-seven billion, four hundred eight million, four hundred sixty-two thousand, one hundred forty".