42609154046400 has 252 divisors, whose sum is σ = 151570639440792. Its totient is φ = 11352864122880.

The previous prime is 42609154046353. The next prime is 42609154046419. The reversal of 42609154046400 is 464045190624.

42609154046400 is a `hidden beast` number, since 4 + 2 + 60 + 9 + 1 + 540 + 4 + 6 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15846394 + ... + 18339206.

Almost surely, 2^{42609154046400} is an apocalyptic number.

42609154046400 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 42609154046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75785319720396).

42609154046400 is an abundant number, since it is smaller than the sum of its proper divisors (108961485394392).

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

42609154046400 is a wasteful number, since it uses less digits than its factorization.

42609154046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494028 (or 2494010 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42609154046400 in words is "forty-two trillion, six hundred nine billion, one hundred fifty-four million, forty-six thousand, four hundred".