1020500240400 has 150 divisors (see below), whose sum is σ = 3662493587082. Its totient is φ = 272133388800.

The previous prime is 1020500240399. The next prime is 1020500240467. The reversal of 1020500240400 is 40420050201.

1020500240400 is a `hidden beast` number, since 1 + 0 + 20 + 5 + 0 + 0 + 240 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 174269511936 + 846230728464 = 417456^2 + 919908^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15716061 + ... + 15780860.

Almost surely, 2^{1020500240400} is an apocalyptic number.

1020500240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020500240400 is an abundant number, since it is smaller than the sum of its proper divisors (2641993346682).

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

1020500240400 is a wasteful number, since it uses less digits than its factorization.

1020500240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31496951 (or 31496931 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 1020500240400 its reverse (40420050201), we get a palindrome (1060920290601).

The spelling of 1020500240400 in words is "one trillion, twenty billion, five hundred million, two hundred forty thousand, four hundred".