1045437644790 has 384 divisors, whose sum is σ = 3533890913280. Its totient is φ = 216026611200.

The previous prime is 1045437644767. The next prime is 1045437644807. The reversal of 1045437644790 is 974467345401.

1045437644790 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 43 + 76 + 447 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 33851476 + ... + 33882344.

It is an arithmetic number, because the mean of its divisors is an integer number (9202840920).

Almost surely, 2^{1045437644790} is an apocalyptic number.

1045437644790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045437644790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766945456640).

1045437644790 is an abundant number, since it is smaller than the sum of its proper divisors (2488453268490).

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

1045437644790 is a wasteful number, since it uses less digits than its factorization.

1045437644790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31090 (or 31078 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 1045437644790 in words is "one trillion, forty-five billion, four hundred thirty-seven million, six hundred forty-four thousand, seven hundred ninety".