45355598724240 has 720 divisors, whose sum is σ = 190850970024000. Its totient is φ = 9592952850432.

The previous prime is 45355598724173. The next prime is 45355598724277. The reversal of 45355598724240 is 4242789555354.

45355598724240 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 55 + 98 + 72 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×45355598724240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28036986 + ... + 29610534.

It is an arithmetic number, because the mean of its divisors is an integer number (265070791700).

Almost surely, 2^{45355598724240} is an apocalyptic number.

45355598724240 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 45355598724240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95425485012000).

45355598724240 is an abundant number, since it is smaller than the sum of its proper divisors (145495371299760).

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

45355598724240 is a wasteful number, since it uses less digits than its factorization.

45355598724240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573644 (or 1573628 counting only the distinct ones).

The product of its (nonzero) digits is 241920000, while the sum is 63.

The spelling of 45355598724240 in words is "forty-five trillion, three hundred fifty-five billion, five hundred ninety-eight million, seven hundred twenty-four thousand, two hundred forty".