1292680829440 has 800 divisors, whose sum is σ = 4207161974400. Its totient is φ = 370938839040.

The previous prime is 1292680829411. The next prime is 1292680829491. The reversal of 1292680829440 is 449280862921.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3410767171 + ... + 3410767549.

It is an arithmetic number, because the mean of its divisors is an integer number (5258952468).

Almost surely, 2^{1292680829440} is an apocalyptic number.

1292680829440 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 1292680829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103580987200).

1292680829440 is an abundant number, since it is smaller than the sum of its proper divisors (2914481144960).

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

1292680829440 is an frugal number, since it uses more digits than its factorization.

1292680829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 1292680829440 in words is "one trillion, two hundred ninety-two billion, six hundred eighty million, eight hundred twenty-nine thousand, four hundred forty".