1501941022400 has 672 divisors, whose sum is σ = 4791826636800. Its totient is φ = 459938304000.

The previous prime is 1501941022381. The next prime is 1501941022403. The reversal of 1501941022400 is 42201491051.

It is not an unprimeable number, because it can be changed into a prime (1501941022403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221163005 + ... + 221169795.

It is an arithmetic number, because the mean of its divisors is an integer number (7130694400).

Almost surely, 2^{1501941022400} is an apocalyptic number.

1501941022400 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 1501941022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395913318400).

1501941022400 is an abundant number, since it is smaller than the sum of its proper divisors (3289885614400).

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

1501941022400 is a wasteful number, since it uses less digits than its factorization.

1501941022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 1501941022400 in words is "one trillion, five hundred one billion, nine hundred forty-one million, twenty-two thousand, four hundred".