49162106400 has 864 divisors, whose sum is σ = 187252015104. Its totient is φ = 11176704000.

The previous prime is 49162106393. The next prime is 49162106467. The reversal of 49162106400 is 460126194.

It is a super-3 number, since 3×49162106400³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 387103137 + ... + 387103263.

Almost surely, 2^49162106400 is an apocalyptic number.

49162106400 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 49162106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93626007552).

49162106400 is an abundant number, since it is smaller than the sum of its proper divisors (138089908704).

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

49162106400 is a wasteful number, since it uses less digits than its factorization.

49162106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 49162106400 in words is "forty-nine billion, one hundred sixty-two million, one hundred six thousand, four hundred".