46419047400 has 384 divisors, whose sum is σ = 168584924160. Its totient is φ = 10440192000.

The previous prime is 46419047387. The next prime is 46419047447. The reversal of 46419047400 is 474091464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7963287 + ... + 7969113.

It is an arithmetic number, because the mean of its divisors is an integer number (439023240).

Almost surely, 2^46419047400 is an apocalyptic number.

46419047400 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 46419047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84292462080).

46419047400 is an abundant number, since it is smaller than the sum of its proper divisors (122165876760).

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

46419047400 is a wasteful number, since it uses less digits than its factorization.

46419047400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 46419047400 in words is "forty-six billion, four hundred nineteen million, forty-seven thousand, four hundred".