42037954560 has 1152 divisors, whose sum is σ = 181503504000. Its totient is φ = 9190637568.

The previous prime is 42037954513. The next prime is 42037954577. The reversal of 42037954560 is 6545973024.

42037954560 is a `hidden beast` number, since 4 + 2 + 0 + 37 + 9 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392878027 + ... + 392878133.

It is an arithmetic number, because the mean of its divisors is an integer number (157555125).

Almost surely, 2^42037954560 is an apocalyptic number.

42037954560 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 42037954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90751752000).

42037954560 is an abundant number, since it is smaller than the sum of its proper divisors (139465549440).

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

42037954560 is a wasteful number, since it uses less digits than its factorization.

42037954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 42037954560 in words is "forty-two billion, thirty-seven million, nine hundred fifty-four thousand, five hundred sixty".