1023557040 has 320 divisors, whose sum is σ = 4015457280. Its totient is φ = 237219840.

The previous prime is 1023557021. The next prime is 1023557053. The reversal of 1023557040 is 407553201.

It is a happy number.

1023557040 is a `hidden beast` number, since 102 + 3 + 557 + 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 = 1023556995 and 1023557013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545544 + ... + 547416.

It is an arithmetic number, because the mean of its divisors is an integer number (12548304).

Almost surely, 2^1023557040 is an apocalyptic number.

1023557040 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 1023557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007728640).

1023557040 is an abundant number, since it is smaller than the sum of its proper divisors (2991900240).

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

1023557040 is a wasteful number, since it uses less digits than its factorization.

1023557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1023557040 is about 31993.0780013427. The cubic root of 1023557040 is about 1007.7914818115.

It can be divided in two parts, 1023 and 557040, that multiplied together give a triangular number (569851920 = T₃₃₇₅₉).

The spelling of 1023557040 in words is "one billion, twenty-three million, five hundred fifty-seven thousand, forty".