30742403401440 has 432 divisors, whose sum is σ = 106154059035024. Its totient is φ = 8101346181120.

The previous prime is 30742403401439. The next prime is 30742403401447. The reversal of 30742403401440 is 4410430424703.

30742403401440 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 240 + 3 + 401 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30742403401395 and 30742403401404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30742403401447) 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, 11458218339 + ... + 11458221021.

It is an arithmetic number, because the mean of its divisors is an integer number (245726988507).

Almost surely, 2^{30742403401440} is an apocalyptic number.

30742403401440 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 30742403401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53077029517512).

30742403401440 is an abundant number, since it is smaller than the sum of its proper divisors (75411655633584).

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

30742403401440 is a wasteful number, since it uses less digits than its factorization.

30742403401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 30742403401440 in words is "thirty trillion, seven hundred forty-two billion, four hundred three million, four hundred one thousand, four hundred forty".