42954096020400 has 240 divisors, whose sum is σ = 153198714496000. Its totient is φ = 11430903824640.

The previous prime is 42954096020357. The next prime is 42954096020411. The reversal of 42954096020400 is 402069045924.

42954096020400 is a `hidden beast` number, since 4 + 2 + 9 + 540 + 9 + 60 + 2 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176201 + ... + 9342999.

Almost surely, 2^{42954096020400} is an apocalyptic number.

42954096020400 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 42954096020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76599357248000).

42954096020400 is an abundant number, since it is smaller than the sum of its proper divisors (110244618475600).

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

42954096020400 is a wasteful number, since it uses less digits than its factorization.

42954096020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167313 (or 8167296 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 42954096020400 in words is "forty-two trillion, nine hundred fifty-four billion, ninety-six million, twenty thousand, four hundred".