1031455435040 has 768 divisors, whose sum is σ = 2978519040000. Its totient is φ = 334414282752.

The previous prime is 1031455435033. The next prime is 1031455435051. The reversal of 1031455435040 is 405345541301.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2067044711 + ... + 2067045209.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280000).

Almost surely, 2^{1031455435040} is an apocalyptic number.

1031455435040 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 1031455435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489259520000).

1031455435040 is an abundant number, since it is smaller than the sum of its proper divisors (1947063604960).

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

1031455435040 is a wasteful number, since it uses less digits than its factorization.

1031455435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 1031455435040 in words is "one trillion, thirty-one billion, four hundred fifty-five million, four hundred thirty-five thousand, forty".