1040414991552 has 224 divisors, whose sum is σ = 3326078427840. Its totient is φ = 317582622720.

The previous prime is 1040414991547. The next prime is 1040414991559. The reversal of 1040414991552 is 2551994140401.

1040414991552 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 1 + 4 + 9 + 91 + 552 = 666.

It is a super-3 number, since 3×1040414991552³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1040414991498 and 1040414991507.

It is not an unprimeable number, because it can be changed into a prime (1040414991559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608302 + ... + 1565522.

It is an arithmetic number, because the mean of its divisors is an integer number (14848564410).

Almost surely, 2^{1040414991552} is an apocalyptic number.

1040414991552 is a gapful number since it is divisible by the number (12) 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 1040414991552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663039213920).

1040414991552 is an abundant number, since it is smaller than the sum of its proper divisors (2285663436288).

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

1040414991552 is a wasteful number, since it uses less digits than its factorization.

1040414991552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957296 (or 957280 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1040414991552 in words is "one trillion, forty billion, four hundred fourteen million, nine hundred ninety-one thousand, five hundred fifty-two".