1402024506064 has 160 divisors (see below), whose sum is σ = 3357523604736. Its totient is φ = 552290918400.

The previous prime is 1402024506031. The next prime is 1402024506079. The reversal of 1402024506064 is 4606054202041.

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 31 ways as a sum of consecutive naturals, for example, 395268739 + ... + 395272285.

Almost surely, 2^{1402024506064} is an apocalyptic number.

1402024506064 is a gapful number since it is divisible by the number (14) 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 1402024506064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678761802368).

1402024506064 is an abundant number, since it is smaller than the sum of its proper divisors (1955499098672).

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

1402024506064 is a wasteful number, since it uses less digits than its factorization.

1402024506064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 1402024506064 in words is "one trillion, four hundred two billion, twenty-four million, five hundred six thousand, sixty-four".