1790049191040 has 768 divisors, whose sum is σ = 6846488064000. Its totient is φ = 427358453760.

The previous prime is 1790049191039. The next prime is 1790049191053. The reversal of 1790049191040 is 401919400971.

1790049191040 is a `hidden beast` number, since 1 + 79 + 0 + 0 + 491 + 91 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×1790049191040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1198960534 + ... + 1198962026.

It is an arithmetic number, because the mean of its divisors is an integer number (8914698000).

Almost surely, 2^{1790049191040} is an apocalyptic number.

1790049191040 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 1790049191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423244032000).

1790049191040 is an abundant number, since it is smaller than the sum of its proper divisors (5056438872960).

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

1790049191040 is a wasteful number, since it uses less digits than its factorization.

1790049191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1790049191040 in words is "one trillion, seven hundred ninety billion, forty-nine million, one hundred ninety-one thousand, forty".