7420148736000 has 3584 divisors, whose sum is σ = 35173635194880. Its totient is φ = 1337720832000.

The previous prime is 7420148735971. The next prime is 7420148736001. The reversal of 7420148736000 is 6378410247.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7420148736001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58426367937 + ... + 58426368063.

It is an arithmetic number, because the mean of its divisors is an integer number (9814072320).

Almost surely, 2^{7420148736000} is an apocalyptic number.

7420148736000 is a gapful number since it is divisible by the number (70) 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 7420148736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17586817597440).

7420148736000 is an abundant number, since it is smaller than the sum of its proper divisors (27753486458880).

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

7420148736000 is a wasteful number, since it uses less digits than its factorization.

7420148736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 7420148736000 in words is "seven trillion, four hundred twenty billion, one hundred forty-eight million, seven hundred thirty-six thousand".