1023225153440 has 96 divisors (see below), whose sum is σ = 2765238860160. Its totient is φ = 350498663424.

The previous prime is 1023225153439. The next prime is 1023225153491. The reversal of 1023225153440 is 443515223201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1023225153397 and 1023225153406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806231 + ... + 1642089.

It is an arithmetic number, because the mean of its divisors is an integer number (28804571460).

Almost surely, 2^{1023225153440} is an apocalyptic number.

1023225153440 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 1023225153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382619430080).

1023225153440 is an abundant number, since it is smaller than the sum of its proper divisors (1742013706720).

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

1023225153440 is a wasteful number, since it uses less digits than its factorization.

1023225153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836974 (or 836966 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 1023225153440 in words is "one trillion, twenty-three billion, two hundred twenty-five million, one hundred fifty-three thousand, four hundred forty".