1025034005040 has 320 divisors, whose sum is σ = 3374517350400. Its totient is φ = 256665480192.

The previous prime is 1025034005027. The next prime is 1025034005081. The reversal of 1025034005040 is 405004305201.

It is a super-2 number, since 2×1025034005040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1025034005040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574891989 + ... + 574893771.

It is an arithmetic number, because the mean of its divisors is an integer number (10545366720).

Almost surely, 2^{1025034005040} is an apocalyptic number.

1025034005040 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 1025034005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687258675200).

1025034005040 is an abundant number, since it is smaller than the sum of its proper divisors (2349483345360).

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

1025034005040 is a wasteful number, since it uses less digits than its factorization.

1025034005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 1025034005040 in words is "one trillion, twenty-five billion, thirty-four million, five thousand, forty".