1377504016 has 40 divisors (see below), whose sum is σ = 3229614720. Its totient is φ = 555631104.

The previous prime is 1377503989. The next prime is 1377504041. The reversal of 1377504016 is 6104057731.

It is a super-2 number, since 2×1377504016² = 3795034628192256512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359836 + ... + 363643.

It is an arithmetic number, because the mean of its divisors is an integer number (80740368).

Almost surely, 2^1377504016 is an apocalyptic number.

1377504016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1377504016 is an abundant number, since it is smaller than the sum of its proper divisors (1852110704).

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

1377504016 is a wasteful number, since it uses less digits than its factorization.

1377504016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723511 (or 723505 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 1377504016 is about 37114.7412223230. The cubic root of 1377504016 is about 1112.6646519083.

The spelling of 1377504016 in words is "one billion, three hundred seventy-seven million, five hundred four thousand, sixteen".