1401210785520 has 2880 divisors, whose sum is σ = 6639860736000. Its totient is φ = 271045232640.

The previous prime is 1401210785477. The next prime is 1401210785521. The reversal of 1401210785520 is 255870121041.

It is a happy number.

1401210785520 is a `hidden beast` number, since 1 + 4 + 0 + 121 + 0 + 7 + 8 + 5 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401210785521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 45200347905 + ... + 45200347935.

It is an arithmetic number, because the mean of its divisors is an integer number (2305507200).

Almost surely, 2^{1401210785520} is an apocalyptic number.

1401210785520 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 1401210785520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319930368000).

1401210785520 is an abundant number, since it is smaller than the sum of its proper divisors (5238649950480).

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

1401210785520 is a wasteful number, since it uses less digits than its factorization.

1401210785520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 1401210785520 in words is "one trillion, four hundred one billion, two hundred ten million, seven hundred eighty-five thousand, five hundred twenty".