1020042040032 has 96 divisors (see below), whose sum is σ = 2996839188000. Its totient is φ = 337532120064.

The previous prime is 1020042040019. The next prime is 1020042040033. The reversal of 1020042040032 is 2300402400201.

1020042040032 is a `hidden beast` number, since 1 + 0 + 200 + 420 + 40 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1020042040032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020042039987 and 1020042040014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020042040033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4190407 + ... + 4427142.

It is an arithmetic number, because the mean of its divisors is an integer number (31217074875).

Almost surely, 2^{1020042040032} is an apocalyptic number.

1020042040032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020042040032 is an abundant number, since it is smaller than the sum of its proper divisors (1976797147968).

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

1020042040032 is a wasteful number, since it uses less digits than its factorization.

1020042040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617705 (or 8617691 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1020042040032 its reverse (2300402400201), we get a palindrome (3320444440233).

The spelling of 1020042040032 in words is "one trillion, twenty billion, forty-two million, forty thousand, thirty-two".