1074469919040 has 672 divisors, whose sum is σ = 4314825365760. Its totient is φ = 240332341248.

The previous prime is 1074469919023. The next prime is 1074469919057. The reversal of 1074469919040 is 409199644701.

1074469919040 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 469 + 91 + 90 + 4 + 0 = 666.

1074469919040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1074469919023) and next prime (1074469919057).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 277137582 + ... + 277141458.

It is an arithmetic number, because the mean of its divisors is an integer number (6420871080).

Almost surely, 2^{1074469919040} is an apocalyptic number.

1074469919040 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 1074469919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157412682880).

1074469919040 is an abundant number, since it is smaller than the sum of its proper divisors (3240355446720).

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

1074469919040 is a wasteful number, since it uses less digits than its factorization.

1074469919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1074469919040 in words is "one trillion, seventy-four billion, four hundred sixty-nine million, nine hundred nineteen thousand, forty".