1023400155040 has 48 divisors (see below), whose sum is σ = 2560005394632. Its totient is φ = 385280057344.

The previous prime is 1023400155017. The next prime is 1023400155049. The reversal of 1023400155040 is 405510043201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1021724726416 + 1675428624 = 1010804^2 + 40932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023400154996 and 1023400155014.

It is not an unprimeable number, because it can be changed into a prime (1023400155049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188122309 + ... + 188127748.

Almost surely, 2^{1023400155040} is an apocalyptic number.

1023400155040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023400155040 is an abundant number, since it is smaller than the sum of its proper divisors (1536605239592).

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

1023400155040 is a wasteful number, since it uses less digits than its factorization.

1023400155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376250089 (or 376250081 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1023400155040 its reverse (405510043201), we get a palindrome (1428910198241).

The spelling of 1023400155040 in words is "one trillion, twenty-three billion, four hundred million, one hundred fifty-five thousand, forty".