1409881904640 has 1600 divisors, whose sum is σ = 5767804551168. Its totient is φ = 326069452800.

The previous prime is 1409881904633. The next prime is 1409881904647. The reversal of 1409881904640 is 464091889041.

It is a happy number.

1409881904640 is a `hidden beast` number, since 1 + 4 + 0 + 98 + 8 + 1 + 90 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1409881904633) and next prime (1409881904647).

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 (1409881904647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8980139442 + ... + 8980139598.

Almost surely, 2^{1409881904640} is an apocalyptic number.

1409881904640 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 1409881904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883902275584).

1409881904640 is an abundant number, since it is smaller than the sum of its proper divisors (4357922646528).

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

1409881904640 is a wasteful number, since it uses less digits than its factorization.

1409881904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1409881904640 in words is "one trillion, four hundred nine billion, eight hundred eighty-one million, nine hundred four thousand, six hundred forty".