1042528242240 has 1008 divisors, whose sum is σ = 4124080501632. Its totient is φ = 250153795584.

The previous prime is 1042528242233. The next prime is 1042528242247. The reversal of 1042528242240 is 422428252401.

1042528242240 is a `hidden beast` number, since 1 + 0 + 425 + 2 + 8 + 2 + 4 + 224 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1042528242233) and next prime (1042528242247).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1042528242195 and 1042528242204.

It is not an unprimeable number, because it can be changed into a prime (1042528242247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 516869712 + ... + 516871728.

It is an arithmetic number, because the mean of its divisors is an integer number (4091349704).

Almost surely, 2^{1042528242240} is an apocalyptic number.

1042528242240 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 1042528242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062040250816).

1042528242240 is an abundant number, since it is smaller than the sum of its proper divisors (3081552259392).

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

1042528242240 is a wasteful number, since it uses less digits than its factorization.

1042528242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 1042528242240 in words is "one trillion, forty-two billion, five hundred twenty-eight million, two hundred forty-two thousand, two hundred forty".