1393812783900 has 576 divisors, whose sum is σ = 4638078144000. Its totient is φ = 358936012800.

The previous prime is 1393812783821. The next prime is 1393812783907. The reversal of 1393812783900 is 93872183931.

It is a super-3 number, since 3×1393812783900³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393812783907) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2449582816 + ... + 2449583384.

It is an arithmetic number, because the mean of its divisors is an integer number (8052219000).

Almost surely, 2^{1393812783900} is an apocalyptic number.

1393812783900 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 1393812783900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319039072000).

1393812783900 is an abundant number, since it is smaller than the sum of its proper divisors (3244265360100).

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

1393812783900 is a wasteful number, since it uses less digits than its factorization.

1393812783900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

It can be divided in two parts, 1393812 and 783900, that added together give a palindrome (2177712).

The spelling of 1393812783900 in words is "one trillion, three hundred ninety-three billion, eight hundred twelve million, seven hundred eighty-three thousand, nine hundred".