7149398417028 has 1440 divisors, whose sum is σ = 25013892169728. Its totient is φ = 1737646732800.

The previous prime is 7149398417023. The next prime is 7149398417069. The reversal of 7149398417028 is 8207148939417.

7149398417028 is a `hidden beast` number, since 71 + 4 + 9 + 398 + 4 + 170 + 2 + 8 = 666.

It is a super-2 number, since 2×7149398417028² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7149398417023) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21599390823 + ... + 21599391153.

Almost surely, 2^{7149398417028} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7149398417028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12506946084864).

7149398417028 is an abundant number, since it is smaller than the sum of its proper divisors (17864493752700).

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

7149398417028 is a wasteful number, since it uses less digits than its factorization.

7149398417028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 7149398417028 in words is "seven trillion, one hundred forty-nine billion, three hundred ninety-eight million, four hundred seventeen thousand, twenty-eight".