1822629631440 has 320 divisors, whose sum is σ = 5894719856640. Its totient is φ = 465358141440.

The previous prime is 1822629631429. The next prime is 1822629631457. The reversal of 1822629631440 is 441369262281.

It is a super-2 number, since 2×1822629631440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1822629631440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277709599 + ... + 277716161.

It is an arithmetic number, because the mean of its divisors is an integer number (18420999552).

Almost surely, 2^{1822629631440} is an apocalyptic number.

1822629631440 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 1822629631440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947359928320).

1822629631440 is an abundant number, since it is smaller than the sum of its proper divisors (4072090225200).

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

1822629631440 is a wasteful number, since it uses less digits than its factorization.

1822629631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 1822629631440 in words is "one trillion, eight hundred twenty-two billion, six hundred twenty-nine million, six hundred thirty-one thousand, four hundred forty".