102024442001040 has 80 divisors (see below), whose sum is σ = 340604675613888. Its totient is φ = 25113708799488.

The previous prime is 102024442001033. The next prime is 102024442001059. The reversal of 102024442001040 is 40100244420201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102024442001040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102024442001040.

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, 16350067714 + ... + 16350073953.

Almost surely, 2^{102024442001040} is an apocalyptic number.

102024442001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102024442001040 is an abundant number, since it is smaller than the sum of its proper divisors (238580233612848).

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

102024442001040 is a wasteful number, since it uses less digits than its factorization.

102024442001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32700141696 (or 32700141690 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 102024442001040 its reverse (40100244420201), we get a palindrome (142124686421241).

The spelling of 102024442001040 in words is "one hundred two trillion, twenty-four billion, four hundred forty-two million, one thousand, forty".