1372666735440 has 640 divisors, whose sum is σ = 6348193689600. Its totient is φ = 263288309760.

The previous prime is 1372666735403. The next prime is 1372666735471. The reversal of 1372666735440 is 445376662731.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1844731 + ... + 2479589.

It is an arithmetic number, because the mean of its divisors is an integer number (9919052640).

Almost surely, 2^{1372666735440} is an apocalyptic number.

1372666735440 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 1372666735440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174096844800).

1372666735440 is an abundant number, since it is smaller than the sum of its proper divisors (4975526954160).

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

1372666735440 is a wasteful number, since it uses less digits than its factorization.

1372666735440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634912 (or 634900 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 1372666735440 in words is "one trillion, three hundred seventy-two billion, six hundred sixty-six million, seven hundred thirty-five thousand, four hundred forty".