1014252503040 has 1360 divisors, whose sum is σ = 4275238226688. Its totient is φ = 225246707712.

The previous prime is 1014252503029. The next prime is 1014252503063. The reversal of 1014252503040 is 403052524101.

1014252503040 is a `hidden beast` number, since 10 + 142 + 5 + 2 + 503 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1014252502995 and 1014252503013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9847111629 + ... + 9847111731.

Almost surely, 2^{1014252503040} is an apocalyptic number.

1014252503040 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 1014252503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137619113344).

1014252503040 is an abundant number, since it is smaller than the sum of its proper divisors (3260985723648).

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

1014252503040 is an frugal number, since it uses more digits than its factorization.

1014252503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1014252503040 in words is "one trillion, fourteen billion, two hundred fifty-two million, five hundred three thousand, forty".