45400461120 has 1120 divisors, whose sum is σ = 200749570560. Its totient is φ = 9502064640.

The previous prime is 45400461109. The next prime is 45400461121. The reversal of 45400461120 is 2116400454.

45400461120 is a `hidden beast` number, since 4 + 5 + 40 + 0 + 4 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×45400461120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45400461121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126463501 + ... + 126463859.

It is an arithmetic number, because the mean of its divisors is an integer number (179240688).

Almost surely, 2^45400461120 is an apocalyptic number.

45400461120 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 45400461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100374785280).

45400461120 is an abundant number, since it is smaller than the sum of its proper divisors (155349109440).

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

45400461120 is a wasteful number, since it uses less digits than its factorization.

45400461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 45400461120 its reverse (2116400454), we get a palindrome (47516861574).

The spelling of 45400461120 in words is "forty-five billion, four hundred million, four hundred sixty-one thousand, one hundred twenty".