1292328687840 has 192 divisors, whose sum is σ = 4303973802240. Its totient is φ = 325044264960.

The previous prime is 1292328687827. The next prime is 1292328687841. The reversal of 1292328687840 is 487868232921.

It is a super-2 number, since 2×1292328687840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292328687841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1758120 + ... + 2382360.

It is an arithmetic number, because the mean of its divisors is an integer number (22416530220).

Almost surely, 2^{1292328687840} is an apocalyptic number.

1292328687840 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 1292328687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151986901120).

1292328687840 is an abundant number, since it is smaller than the sum of its proper divisors (3011645114400).

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

1292328687840 is a wasteful number, since it uses less digits than its factorization.

1292328687840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624505 (or 624497 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 1292328687840 in words is "one trillion, two hundred ninety-two billion, three hundred twenty-eight million, six hundred eighty-seven thousand, eight hundred forty".