30074108189400 has 288 divisors, whose sum is σ = 110910280216320. Its totient is φ = 7242409440000.

The previous prime is 30074108189329. The next prime is 30074108189401. The reversal of 30074108189400 is 498180147003.

It is a happy number.

It is a super-2 number, since 2×30074108189400² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30074108189401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2039652 + ... + 8019251.

It is an arithmetic number, because the mean of its divisors is an integer number (385105139640).

Almost surely, 2^{30074108189400} is an apocalyptic number.

30074108189400 is a gapful number since it is divisible by the number (30) 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 30074108189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55455140108160).

30074108189400 is an abundant number, since it is smaller than the sum of its proper divisors (80836172026920).

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

30074108189400 is a wasteful number, since it uses less digits than its factorization.

30074108189400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10059087 (or 10059075 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 30074108189400 in words is "thirty trillion, seventy-four billion, one hundred eight million, one hundred eighty-nine thousand, four hundred".