3900499453440 has 1280 divisors, whose sum is σ = 15028935229440. Its totient is φ = 967267713024.

The previous prime is 3900499453373. The next prime is 3900499453481. The reversal of 3900499453440 is 443549940093.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10184071489 + ... + 10184071871.

It is an arithmetic number, because the mean of its divisors is an integer number (11741355648).

Almost surely, 2^{3900499453440} is an apocalyptic number.

3900499453440 is a gapful number since it is divisible by the number (30) 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 3900499453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514467614720).

3900499453440 is an abundant number, since it is smaller than the sum of its proper divisors (11128435776000).

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

3900499453440 is an equidigital number, since it uses as much as digits as its factorization.

3900499453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

It can be divided in two parts, 390049 and 9453440, that added together give a palindrome (9843489).

The spelling of 3900499453440 in words is "three trillion, nine hundred billion, four hundred ninety-nine million, four hundred fifty-three thousand, four hundred forty".