45938741207040 has 1344 divisors, whose sum is σ = 180487269768960. Its totient is φ = 11077071667200.

The previous prime is 45938741206999. The next prime is 45938741207071. The reversal of 45938741207040 is 4070214783954.

45938741207040 is a `hidden beast` number, since 4 + 59 + 387 + 4 + 1 + 207 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×45938741207040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 28235242707 + ... + 28235244333.

It is an arithmetic number, because the mean of its divisors is an integer number (134291123340).

Almost surely, 2^{45938741207040} is an apocalyptic number.

45938741207040 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 45938741207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90243634884480).

45938741207040 is an abundant number, since it is smaller than the sum of its proper divisors (134548528561920).

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

45938741207040 is a wasteful number, since it uses less digits than its factorization.

45938741207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 45938741207040 in words is "forty-five trillion, nine hundred thirty-eight billion, seven hundred forty-one million, two hundred seven thousand, forty".