45434040120 has 384 divisors, whose sum is σ = 176153927040. Its totient is φ = 9939271680.

The previous prime is 45434040097. The next prime is 45434040139. The reversal of 45434040120 is 2104043454.

It is a happy number.

It is a super-2 number, since 2×45434040120² (a number of 22 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 95 ways as a sum of consecutive naturals, for example, 5471812 + ... + 5480108.

It is an arithmetic number, because the mean of its divisors is an integer number (458734185).

Almost surely, 2^45434040120 is an apocalyptic number.

45434040120 is a gapful number since it is divisible by the number (40) 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 45434040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88076963520).

45434040120 is an abundant number, since it is smaller than the sum of its proper divisors (130719886920).

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

45434040120 is a wasteful number, since it uses less digits than its factorization.

45434040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415 (or 8408 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 45434040120 its reverse (2104043454), we get a palindrome (47538083574).

The spelling of 45434040120 in words is "forty-five billion, four hundred thirty-four million, forty thousand, one hundred twenty".