7430419161072 has 240 divisors, whose sum is σ = 21953563632000. Its totient is φ = 2339571257856.

The previous prime is 7430419161047. The next prime is 7430419161133. The reversal of 7430419161072 is 2701619140347.

It is a happy number.

7430419161072 is a `hidden beast` number, since 7 + 4 + 3 + 0 + 419 + 161 + 0 + 72 = 666.

It is a super-2 number, since 2×7430419161072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987272579 + ... + 1987276317.

It is an arithmetic number, because the mean of its divisors is an integer number (91473181800).

Almost surely, 2^{7430419161072} is an apocalyptic number.

7430419161072 is a gapful number since it is divisible by the number (72) 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 7430419161072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10976781816000).

7430419161072 is an abundant number, since it is smaller than the sum of its proper divisors (14523144470928).

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

7430419161072 is a wasteful number, since it uses less digits than its factorization.

7430419161072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 7430419161072 in words is "seven trillion, four hundred thirty billion, four hundred nineteen million, one hundred sixty-one thousand, seventy-two".