1521468023040 has 1008 divisors, whose sum is σ = 6391075920768. Its totient is φ = 339613876224.

The previous prime is 1521468022999. The next prime is 1521468023041. The reversal of 1521468023040 is 403208641251.

It is a happy number.

1521468023040 is a `hidden beast` number, since 1 + 521 + 4 + 68 + 0 + 2 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 1521468022986 and 1521468023004.

It is not an unprimeable number, because it can be changed into a prime (1521468023041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 280866412 + ... + 280871828.

It is an arithmetic number, because the mean of its divisors is an integer number (6340353096).

Almost surely, 2^{1521468023040} is an apocalyptic number.

1521468023040 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 1521468023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195537960384).

1521468023040 is an abundant number, since it is smaller than the sum of its proper divisors (4869607897728).

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

1521468023040 is an frugal number, since it uses more digits than its factorization.

1521468023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1521468023040 in words is "one trillion, five hundred twenty-one billion, four hundred sixty-eight million, twenty-three thousand, forty".