45930551040 has 1440 divisors, whose sum is σ = 200011908096. Its totient is φ = 9926737920.

The previous prime is 45930551027. The next prime is 45930551053. The reversal of 45930551040 is 4015503954.

45930551040 is a `hidden beast` number, since 4 + 593 + 0 + 55 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45930551027) and next prime (45930551053).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×45930551040³ (a number of 33 digits) contains 333 as substring.

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 = 45930550986 and 45930551004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 445927629 + ... + 445927731.

Almost surely, 2^45930551040 is an apocalyptic number.

45930551040 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 45930551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100005954048).

45930551040 is an abundant number, since it is smaller than the sum of its proper divisors (154081357056).

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

45930551040 is a wasteful number, since it uses less digits than its factorization.

45930551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 45930551040 in words is "forty-five billion, nine hundred thirty million, five hundred fifty-one thousand, forty".