1074731306040 has 288 divisors, whose sum is σ = 4065443207280. Its totient is φ = 245513769984.

The previous prime is 1074731305997. The next prime is 1074731306053. The reversal of 1074731306040 is 406031374701.

1074731306040 is a `hidden beast` number, since 1 + 0 + 7 + 47 + 3 + 1 + 3 + 0 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1074731305986 and 1074731306004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32917564 + ... + 32950196.

Almost surely, 2^{1074731306040} is an apocalyptic number.

1074731306040 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 1074731306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032721603640).

1074731306040 is an abundant number, since it is smaller than the sum of its proper divisors (2990711901240).

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

1074731306040 is a wasteful number, since it uses less digits than its factorization.

1074731306040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34531 (or 34517 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 1074731306040 in words is "one trillion, seventy-four billion, seven hundred thirty-one million, three hundred six thousand, forty".