30150410125440 has 256 divisors, whose sum is σ = 105211683302400. Its totient is φ = 7283361361920.

The previous prime is 30150410125439. The next prime is 30150410125463. The reversal of 30150410125440 is 4452101405103.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30150410125398 and 30150410125407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3454741 + ... + 8499179.

It is an arithmetic number, because the mean of its divisors is an integer number (410983137900).

Almost surely, 2^{30150410125440} is an apocalyptic number.

30150410125440 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 30150410125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52605841651200).

30150410125440 is an abundant number, since it is smaller than the sum of its proper divisors (75061273176960).

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

30150410125440 is a wasteful number, since it uses less digits than its factorization.

30150410125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044755 (or 5044743 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 30150410125440 in words is "thirty trillion, one hundred fifty billion, four hundred ten million, one hundred twenty-five thousand, four hundred forty".