1045178640000 has 2400 divisors, whose sum is σ = 4512641992320. Its totient is φ = 239500800000.

The previous prime is 1045178639963. The next prime is 1045178640001. The reversal of 1045178640000 is 468715401.

It is a happy number.

1045178640000 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 1 + 7 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1045178640001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 24306479979 + ... + 24306480021.

Almost surely, 2^{1045178640000} is an apocalyptic number.

1045178640000 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 1045178640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256320996160).

1045178640000 is an abundant number, since it is smaller than the sum of its proper divisors (3467463352320).

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

1045178640000 is an equidigital number, since it uses as much as digits as its factorization.

1045178640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1045178640000 in words is "one trillion, forty-five billion, one hundred seventy-eight million, six hundred forty thousand".