1011325355040 has 1152 divisors, whose sum is σ = 4378422988800. Its totient is φ = 192877977600.

The previous prime is 1011325355023. The next prime is 1011325355057. The reversal of 1011325355040 is 405535231101.

It is an interprime number because it is at equal distance from previous prime (1011325355023) and next prime (1011325355057).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1011325354989 and 1011325355007.

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, 669307885 + ... + 669309395.

It is an arithmetic number, because the mean of its divisors is an integer number (3800714400).

Almost surely, 2^{1011325355040} is an apocalyptic number.

1011325355040 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 1011325355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189211494400).

1011325355040 is an abundant number, since it is smaller than the sum of its proper divisors (3367097633760).

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

1011325355040 is a wasteful number, since it uses less digits than its factorization.

1011325355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 1011325355040 in words is "one trillion, eleven billion, three hundred twenty-five million, three hundred fifty-five thousand, forty".