1040153736960 has 2160 divisors, whose sum is σ = 4399300382400. Its totient is φ = 233803874304.

The previous prime is 1040153736953. The next prime is 1040153736991. The reversal of 1040153736960 is 696373510401.

It is a happy number.

1040153736960 is a `hidden beast` number, since 10 + 40 + 1 + 537 + 3 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 11687120596 + ... + 11687120684.

It is an arithmetic number, because the mean of its divisors is an integer number (2036713140).

Almost surely, 2^{1040153736960} is an apocalyptic number.

1040153736960 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 1040153736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199650191200).

1040153736960 is an abundant number, since it is smaller than the sum of its proper divisors (3359146645440).

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

1040153736960 is a wasteful number, since it uses less digits than its factorization.

1040153736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 1040153736960 in words is "one trillion, forty billion, one hundred fifty-three million, seven hundred thirty-six thousand, nine hundred sixty".