1207217701440 has 1008 divisors, whose sum is σ = 4632484633920. Its totient is φ = 298702909440.

The previous prime is 1207217701411. The next prime is 1207217701463. The reversal of 1207217701440 is 441077127021.

It is a happy number.

1207217701440 is a `hidden beast` number, since 1 + 207 + 2 + 1 + 7 + 7 + 0 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1207217701395 and 1207217701404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2114216355 + ... + 2114216925.

Almost surely, 2^{1207217701440} is an apocalyptic number.

1207217701440 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 1207217701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316242316960).

1207217701440 is an abundant number, since it is smaller than the sum of its proper divisors (3425266932480).

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

1207217701440 is an frugal number, since it uses more digits than its factorization.

1207217701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 1207217701440 in words is "one trillion, two hundred seven billion, two hundred seventeen million, seven hundred one thousand, four hundred forty".