1030045040640 has 1680 divisors, whose sum is σ = 4703563517400. Its totient is φ = 214035333120.

The previous prime is 1030045040627. The next prime is 1030045040641. The reversal of 1030045040640 is 460405400301.

1030045040640 is a `hidden beast` number, since 10 + 3 + 0 + 0 + 4 + 5 + 0 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030045040641) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 93640458235 + ... + 93640458245.

Almost surely, 2^{1030045040640} is an apocalyptic number.

1030045040640 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 1030045040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351781758700).

1030045040640 is an abundant number, since it is smaller than the sum of its proper divisors (3673518476760).

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

1030045040640 is an frugal number, since it uses more digits than its factorization.

1030045040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1030045040640 in words is "one trillion, thirty billion, forty-five million, forty thousand, six hundred forty".