94378429440 has 792 divisors, whose sum is σ = 366650615760. Its totient is φ = 22380281856.

The previous prime is 94378429373. The next prime is 94378429463. The reversal of 94378429440 is 4492487349.

94378429440 is a `hidden beast` number, since 9 + 437 + 84 + 2 + 94 + 40 = 666.

It is a super-2 number, since 2×94378429440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 253025094 + ... + 253025466.

Almost surely, 2^94378429440 is an apocalyptic number.

94378429440 is a gapful number since it is divisible by the number (90) 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 94378429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183325307880).

94378429440 is an abundant number, since it is smaller than the sum of its proper divisors (272272186320).

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

94378429440 is a wasteful number, since it uses less digits than its factorization.

94378429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 94378429440 in words is "ninety-four billion, three hundred seventy-eight million, four hundred twenty-nine thousand, four hundred forty".