42201577440 has 144 divisors (see below), whose sum is σ = 157105022256. Its totient is φ = 10230681600.

The previous prime is 42201577421. The next prime is 42201577489. The reversal of 42201577440 is 4477510224.

42201577440 is a `hidden beast` number, since 4 + 2 + 201 + 5 + 7 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 42201577395 and 42201577404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1316281 + ... + 1347960.

It is an arithmetic number, because the mean of its divisors is an integer number (1091007099).

Almost surely, 2^42201577440 is an apocalyptic number.

42201577440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42201577440 is an abundant number, since it is smaller than the sum of its proper divisors (114903444816).

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

42201577440 is a wasteful number, since it uses less digits than its factorization.

42201577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664273 (or 2664262 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 42201577440 in words is "forty-two billion, two hundred one million, five hundred seventy-seven thousand, four hundred forty".