45214219440 has 1200 divisors, whose sum is σ = 186819605280. Its totient is φ = 10092625920.

The previous prime is 45214219423. The next prime is 45214219451. The reversal of 45214219440 is 4491241254.

45214219440 is a `hidden beast` number, since 4 + 521 + 4 + 2 + 1 + 94 + 40 = 666.

45214219440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 45214219395 and 45214219404.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 853098454 + ... + 853098506.

Almost surely, 2^45214219440 is an apocalyptic number.

45214219440 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 45214219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93409802640).

45214219440 is an abundant number, since it is smaller than the sum of its proper divisors (141605385840).

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

45214219440 is a wasteful number, since it uses less digits than its factorization.

45214219440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45214219440 in words is "forty-five billion, two hundred fourteen million, two hundred nineteen thousand, four hundred forty".