1909102040400 has 240 divisors, whose sum is σ = 6326691190848. Its totient is φ = 491758080000.

The previous prime is 1909102040387. The next prime is 1909102040407. The reversal of 1909102040400 is 40402019091.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1909102040407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4777107 + ... + 5161293.

Almost surely, 2^{1909102040400} is an apocalyptic number.

1909102040400 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 1909102040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163345595424).

1909102040400 is an abundant number, since it is smaller than the sum of its proper divisors (4417589150448).

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

1909102040400 is a wasteful number, since it uses less digits than its factorization.

1909102040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384350 (or 384339 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 1909102040400 its reverse (40402019091), we get a palindrome (1949504059491).

The spelling of 1909102040400 in words is "one trillion, nine hundred nine billion, one hundred two million, forty thousand, four hundred".