1035665740800 has 1320 divisors, whose sum is σ = 4093453696640. Its totient is φ = 257989017600.

The previous prime is 1035665740793. The next prime is 1035665740939. The reversal of 1035665740800 is 80475665301.

1035665740800 is a `hidden beast` number, since 1 + 0 + 3 + 566 + 5 + 7 + 4 + 0 + 80 + 0 = 666.

It is a super-3 number, since 3×1035665740800³ (a number of 37 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 3821644665 + ... + 3821644935.

Almost surely, 2^{1035665740800} is an apocalyptic number.

1035665740800 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 1035665740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046726848320).

1035665740800 is an abundant number, since it is smaller than the sum of its proper divisors (3057787955840).

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

1035665740800 is a wasteful number, since it uses less digits than its factorization.

1035665740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1035665740800 in words is "one trillion, thirty-five billion, six hundred sixty-five million, seven hundred forty thousand, eight hundred".