1015245431640 has 768 divisors, whose sum is σ = 3841023888000. Its totient is φ = 230199459840.

The previous prime is 1015245431639. The next prime is 1015245431663. The reversal of 1015245431640 is 461345425101.

1015245431640 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 2 + 4 + 5 + 4 + 3 + 1 + 640 = 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 = 1015245431595 and 1015245431604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1431939606 + ... + 1431940314.

Almost surely, 2^{1015245431640} is an apocalyptic number.

1015245431640 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 1015245431640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920511944000).

1015245431640 is an abundant number, since it is smaller than the sum of its proper divisors (2825778456360).

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

1015245431640 is a wasteful number, since it uses less digits than its factorization.

1015245431640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1015245431640 in words is "one trillion, fifteen billion, two hundred forty-five million, four hundred thirty-one thousand, six hundred forty".