1013240400 has 120 divisors (see below), whose sum is σ = 3252854304. Its totient is φ = 269606400.

The previous prime is 1013240381. The next prime is 1013240401. The reversal of 1013240400 is 40423101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1013240400² = 2053312216384320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013240400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013240401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991890 + ... + 992910.

Almost surely, 2^1013240400 is an apocalyptic number.

1013240400 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 1013240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626427152).

1013240400 is an abundant number, since it is smaller than the sum of its proper divisors (2239613904).

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

1013240400 is a wasteful number, since it uses less digits than its factorization.

1013240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1013240400 is about 31831.4372908293. The cubic root of 1013240400 is about 1004.3941300070.

Adding to 1013240400 its reverse (40423101), we get a palindrome (1053663501).

The spelling of 1013240400 in words is "one billion, thirteen million, two hundred forty thousand, four hundred".